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1

Boundedness of the Riesz Potential in Local Morrey-Type Spaces

Victor I. Burenkov, Amiran Gogatishvili, Vagif S. Guliyev, Rza Ch. Mustafayev

Journal:

Potential Analysis

Year:

2011

Language:

english

File:

PDF, 499 KB

english, 2011

2

Characterization of a rearrangement-invariant hull of a Besov space via interpolation

Amiran Gogatishvili, Luboš Pick, Jan Schneider

Journal:

Revista Matemática Complutense

Year:

2012

Language:

english

File:

PDF, 552 KB

english, 2012

3

Interpolation of uniformly absolutely continuous operators

Fernando Cobos, Amiran Gogatishvili, Bohumír Opic, Luboš Pick

Journal:

Mathematische Nachrichten

Year:

2012

Language:

english

File:

PDF, 257 KB

english, 2012

4

Interpolation orbits and optimal Sobolev's embeddings

Amiran Gogatishvili, Vladimir I. Ovchinnikov

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 187 KB

english, 2007

5

Functional properties of rearrangement invariant spaces defined in terms of oscillations

María J. Carro, Amiran Gogatishvili, Joaquim Martín, Luboš Pick

Journal:

Journal of Functional Analysis

Year:

2005

Language:

english

File:

PDF, 285 KB

english, 2005

6

The rearrangement-invariant space(Gamma _{p,phi })

Amiran Gogatishvili, Ron Kerman

Journal:

Year:

2014

Language:

english

File:

PDF, 318 KB

english, 2014

7

Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation

Fiorenza, Alberto, Gogatishvili, Amiran, Kopaliani, Tengiz

Journal:

Archiv der Mathematik

Year:

2013

Language:

english

File:

PDF, 198 KB

english, 2013

8

Maximal multiplier operators in L

Gogatishvili, Amiran, Kopaliani, Tengiz

Journal:

Bulletin des Sciences Mathématiques

Year:

2016

Language:

english

File:

PDF, 299 KB

english, 2016

9

Dual spaces of local Morrey-type spaces

Amiran Gogatishvili, Rza Mustafayev

Journal:

Czechoslovak Mathematical Journal

Year:

2011

Language:

english

File:

PDF, 158 KB

english, 2011

10

Characterizations of Besov and Triebel–Lizorkin spaces via averages on balls

Dai, Feng, Gogatishvili, Amiran, Yang, Dachun, Yuan, Wen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 454 KB

english, 2016

11

Sharp embeddings of Besov spaces involving only logarithmic smoothness

António M. Caetano, Amiran Gogatishvili, Bohumir Opic

Journal:

Journal of Approximation Theory

Year:

2008

Language:

english

File:

PDF, 308 KB

english, 2008

12

Weighted Inequalities for Discrete Iterated Hardy Operators

Gogatishvili, Amiran, KÅepela, Martin, OÄ½hava, Rastislav, Pick, LuboÅ¡

Journal:

Mediterranean Journal of Mathematics

Year:

2020

File:

PDF, 473 KB

2020

13

Characterizations of Sobolev spaces via averages on balls

Dai, Feng, Gogatishvili, Amiran, Yang, Dachun, Yuan, Wen

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 660 KB

english, 2015

14

Interpolation properties of Besov spaces defined on metric spaces

Amiran Gogatishvili, Pekka Koskela, Nageswari Shanmugalingam

Journal:

Mathematische Nachrichten

Year:

2010

Language:

english

File:

PDF, 198 KB

english, 2010

15

Limiting reiteration for real interpolation with slowly varying functions

Amiran Gogatishvili, Bohumír Opic, Walter Trebels

Journal:

Mathematische Nachrichten

Year:

2005

Language:

english

File:

PDF, 287 KB

english, 2005

16

Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

Gogatishvili, Amiran, Koskela, Pekka, Zhou, Yuan

Journal:

Forum Mathematicum

Year:

2011

Language:

english

File:

PDF, 372 KB

english, 2011

17

Equivalence of norms of Riesz potential and fractional maximal function in generalized Morrey spaces

Amiran Gogatishvili, Rza Mustafayev

Journal:

Collectanea Mathematica

Year:

2012

Language:

english

File:

PDF, 260 KB

english, 2012

18

Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions

Gogatishvili, Amiran, Neves, Júlio S.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2019

File:

PDF, 309 KB

2019

19

Erratum to “Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness” [J. Approx. Theory 163 (2011) 1373–1399]

António M. Caetano, Amiran Gogatishvili, Bohumír Opic

Journal:

Journal of Approximation Theory

Year:

2012

Language:

english

File:

PDF, 101 KB

english, 2012

20

Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness

Gogatishvili, Amiran, Neves, Júlio, Opic, Bohumír

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2011

Language:

english

File:

PDF, 281 KB

english, 2011

21

Embeddings of Lorentz-type spaces involving weighted integral means

Gogatishvili, Amiran, Křepela, Martin, Pick, Luboš, Soudský, Filip

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 1.65 MB

english, 2017

22

Optimal embeddings and compact embeddings of Bessel-potential-type spaces

Amiran Gogatishvili, Júlio S. Neves, Bohumír Opic

Journal:

Mathematische Zeitschrift

Year:

2009

Language:

english

File:

PDF, 485 KB

english, 2009

23

Optimality of embeddings of Bessel-potential-type spaces into Lorentz–Karamata spaces

Gogatishvili, Amiran, Opic, Bohumír, Neves, Júlio S.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2004

Language:

english

File:

PDF, 226 KB

english, 2004

24

The weighted Stieltjes inequality and applications

Amiran Gogatishvili, Alois Kufner, Lars-Erik Persson

Journal:

Mathematische Nachrichten

Year:

2012

Language:

english

File:

PDF, 145 KB

english, 2012

25

Reduction theorems for operators on the cones of monotone functions

Gogatishvili, Amiran, Stepanov, Vladimir D.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 457 KB

english, 2013

26

Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

Caetano, António, Gogatishvili, Amiran, Opic, Bohumír

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2016

Language:

english

File:

PDF, 269 KB

english, 2016

27

Compact embeddings of besov spaces involving only slowly varying smoothness

António Caetano, Amiran Gogatishvili, Bohumír Opic

Journal:

Czechoslovak Mathematical Journal

Year:

2011

Language:

english

File:

PDF, 170 KB

english, 2011

28

Normability of Lorentz spaces—an alternative approach

Gogatishvili, Amiran, Soudský, Filip

Journal:

Czechoslovak Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 180 KB

english, 2014

29

Calderon-type theorems for operators of non-standard endpoint behaviour

Gogatishvili, Amiran, Pick, Lubos

Journal:

Indiana University Mathematics Journal

Year:

2009

Language:

english

File:

PDF, 306 KB

english, 2009

30

Embeddings between weighted Copson and Cesàro function spaces

Gogatishvili, Amiran, Mustafayev, Rza, Ünver, Tuğçe

Journal:

Czechoslovak Mathematical Journal

Year:

2017

Language:

english

File:

PDF, 278 KB

english, 2017

31

Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by L-modulus of smoothness

Gogatishvili, Amiran, S. Neves, Júlio, Opic, Bohumír

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 1.17 MB

english, 2018

32

Embeddings of Sobolev-type spaces into generalized Hölder spaces involving\(k\)-modulus of smoothness

Gogatishvili, Amiran, Moura, Susana D., Neves, Júlio S., Opic, Bohumír

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2015

Language:

english

File:

PDF, 371 KB

english, 2015

33

Some new iterated Hardy-type inequalities: the case θ=1

Gogatishvili, Amiran, Mustafayev, Rza, Persson, Lars-Erik

Journal:

Journal of Inequalities and Applications

Year:

2013

Language:

english

File:

PDF, 532 KB

english, 2013

34

On bilinear Hardy inequality and corresponding geometric mean inequality

Gogatishvili, Amiran, Jain, Pankaj, Kanjilal, Saikat

Journal:

Ricerche di Matematica

Year:

2020

File:

PDF, 394 KB

2020

35

Some scales of equivalent conditions to characterize the Stieltjes inequality: the case q

Gogatishvili, Amiran, Persson, Lars-Erik, Stepanov, Vladimir D., Wall, Peter

Journal:

Mathematische Nachrichten

Year:

2014

Language:

english

File:

PDF, 206 KB

english, 2014

36

A reduction theorem for supremum operators

Amiran Gogatishvili, Luboš Pick

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 168 KB

english, 2007

37

Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness

António M. Caetano, Amiran Gogatishvili, Bohumír Opic

Journal:

Journal of Approximation Theory

Year:

2011

Language:

english

File:

PDF, 328 KB

english, 2011

38

A note on maximal commutators and commutators of maximal functions

AGCAYAZI, Mujdat, GOGATISHVILI, Amiran, KOCA, Kerim, MUSTAFAYEV, Rza

Journal:

Journal of the Mathematical Society of Japan

Year:

2015

Language:

english

File:

PDF, 200 KB

english, 2015

39

Characterization of interpolation between Grand, small or classical Lebesgue spaces

Fiorenza, Alberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Kopaliani, Tengiz, Rakotoson, Jean Michel

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2017

Language:

english

File:

PDF, 866 KB

english, 2017

40

Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involvingk-Modulus of Smoothness

Amiran Gogatishvili, Júlio S. Neves, Bohumír Opic

Journal:

Potential Analysis

Year:

2010

Language:

english

File:

PDF, 577 KB

english, 2010

41

Construction of Function Spaces Close to $$L^\infty $$ L ∞ with Associate Space Close to $$L^1$$ L 1

Edmunds, David, Gogatishvili, Amiran, Kopaliani, Tengiz

Journal:

Journal of Fourier Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 521 KB

english, 2017

42

The one-sided Ap conditions and local maximal operator

Bernardis, Ana L., Gogatishvili, Amiran, Martín-Reyes, Francisco Javier, Salvador, Pedro Ortega, Pick, Luboš

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2011

Language:

english

File:

PDF, 237 KB

english, 2011

43

Some s-numbers of an integral operator of Hardy

Edmunds, David, Gogatishvili, Amiran, Kopaliani, Tengiz, Samashvili, Nino

Journal:

Journal of Approximation Theory

Year:

2016

Language:

english

File:

PDF, 285 KB

english, 2016

44

Some new results related to Lorentz GΓ-spaces and interpolation

Ahmed, Irshaad, Fiorenza, Alberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Rakotoson, Jean Michel

Journal:

Journal of Mathematical Analysis and Applications

Year:

2019

Language:

english

File:

PDF, 467 KB

english, 2019

45

Sharpness and non-compactness of embeddings of Bessel-potential-type spaces

Amiran Gogatishvili, Júlio Severino Neves, Bohumír Opic

Journal:

Mathematische Nachrichten

Year:

2007

Language:

english

File:

PDF, 182 KB

english, 2007

46

Characterization of associate spaces of weighted Lorentz spaces with applications

Gogatishvili, Amiran, Pick, Luboš, Soudský, Filip

Journal:

Studia Mathematica

Year:

2014

Language:

english

File:

PDF, 428 KB

english, 2014

47

Ulyanov-type Inequalities Between Lorentz–Zygmund Spaces

Amiran Gogatishvili,Bohumír Opic…

Journal:

Journal of Fourier Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 519 KB

english, 2014

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