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1

Constancy results for special families of projections

FÄSSLER, KATRIN, ORPONEN, TUOMAS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2013

Language:

english

File:

PDF, 326 KB

english, 2013

2

Hausdorff dimension estimates for restricted families of projections in

Orponen, Tuomas

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 587 KB

english, 2015

3

Some obstacles in characterising the boundedness of bi-parameter singular integrals

Martikainen, Henri, Orponen, Tuomas

Journal:

Mathematische Zeitschrift

Year:

2016

Language:

english

File:

PDF, 440 KB

english, 2016

4

On the distance sets of Ahlfors–David regular sets

Orponen, Tuomas

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 379 KB

english, 2017

5

The Assouad dimensions of projections of planar sets

Fraser, Jonathan M., Orponen, Tuomas

Journal:

Proceedings of the London Mathematical Society

Year:

2017

Language:

english

File:

PDF, 453 KB

english, 2017

6

Curve packing and modulus estimates

Fässler, Katrin, Orponen, Tuomas

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 443 KB

english, 2018

7

Characterising the big pieces of Lipschitz graphs property using projections

Martikainen, Henri, Orponen, Tuomas

Journal:

Journal of the European Mathematical Society

Year:

2018

Language:

english

File:

PDF, 245 KB

english, 2018

8

Metric currents and the Poincaré inequality

Fässler, Katrin, Orponen, Tuomas

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 382 KB

english, 2019

9

Boundedness of singular integrals on C1, intrinsic graphs in the Heisenberg group

Chousionis, Vasileios, Fässler, Katrin, Orponen, Tuomas

Journal:

Advances in Mathematics

Year:

2019

Language:

english

File:

PDF, 716 KB

english, 2019

10

Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group

Chousionis, Vasileios, Fässler, Katrin, Orponen, Tuomas

Journal:

American Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 765 KB

english, 2019

11

Quantitative absolute continuity of planar measures with two independent Alberti representations

Bate, David, Orponen, Tuomas

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2020

File:

PDF, 700 KB

2020

12

Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group

FÃ¤ssler, Katrin, Orponen, Tuomas, Rigot, SÃ©verine

Journal:

Transactions of the American Mathematical Society

Year:

2020

File:

PDF, 716 KB

2020

13

Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators onApweighted spaces

Hytönen, Tuomas P., Lacey, Michael T., Martikainen, Henri, Orponen, Tuomas, Reguera, Maria Carmen, Sawyer, Eric T., Uriarte-Tuero, Ignacio

Journal:

Journal d'Analyse Mathématique

Year:

2012

Language:

english

File:

PDF, 453 KB

english, 2012

14

Slicing Sets and Measures, and the Dimension of Exceptional Parameters

Journal:

Journal of Geometric Analysis

Year:

2014

Language:

english

File:

PDF, 495 KB

english, 2014

15

On the packing dimension and category of exceptional sets of orthogonal projections

Orponen, Tuomas

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2015

Language:

english

File:

PDF, 600 KB

english, 2015

16

On the packing measure of self-similar sets

Orponen, Tuomas

Journal:

Year:

2013

Language:

english

File:

PDF, 109 KB

english, 2013

17

Tangent measures of non-doubling measures

ORPONEN, TUOMAS, SAHLSTEN, TUOMAS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2012

Language:

english

File:

PDF, 469 KB

english, 2012

18

On the distance sets of self-similar sets

Orponen, Tuomas

Journal:

Year:

2012

Language:

english

File:

PDF, 293 KB

english, 2012

19

On Ahlfors–David regular weighted bounds for the extension operator associated to the circle

Orponen, Tuomas

Journal:

Bulletin of the London Mathematical Society

Year:

2015

Language:

english

File:

PDF, 175 KB

english, 2015

20

Radial projections of rectifiable sets

Orponen, Tuomas, Sahlsten, Tuomas

Journal:

Annales Academiae Scientiarum Fennicae Mathematica

Year:

2011

Language:

english

File:

PDF, 277 KB

english, 2011

21

On the Tube Occupancy of Sets in ℝ d

Orponen, Tuomas

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 150 KB

english, 2015

22

Quasisymmetric Maps on Kakeya Sets

Orponen, Tuomas

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 123 KB

english, 2016

23

Hausdorff dimension, intersections of projections and exceptional plane sections

Mattila, Pertti, Orponen, Tuomas

Journal:

Proceedings of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 216 KB

english, 2016

24

Boundedness of the density normalised Jones' square function does not imply 1-rectifiability

Martikainen, Henri, Orponen, Tuomas

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2017

Language:

english

File:

PDF, 745 KB

english, 2017

25

A sharp exceptional set estimate for visibility

Orponen, Tuomas

Journal:

Bulletin of the London Mathematical Society

Year:

2017

Language:

english

File:

PDF, 163 KB

english, 2017

26

On the Haar shift representations of Calderón-Zygmund operators

Orponen, Tuomas

Journal:

Proceedings of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 146 KB

english, 2013

27

On the conformal dimension of product measures

Bate, David, Orponen, Tuomas

Journal:

Proceedings of the London Mathematical Society

Year:

2018

Language:

english

File:

PDF, 356 KB

english, 2018

28

On the packing measure of slices of self-similar sets

Orponen, Tuomas

Journal:

Journal of Fractal Geometry

Year:

2015

Language:

english

File:

PDF, 173 KB

english, 2015

29

Improved Bounds for Restricted Families of Projections to Planes in $\mathbb{R}^{3}$

Orponen, Tuomas, Venieri, Laura

Journal:

International Mathematics Research Notices

Year:

2018

Language:

english

File:

PDF, 294 KB

english, 2018

30

Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group

Chousionis, Vasileios, Fässler, Katrin, Orponen, Tuomas

Journal:

American Journal of Mathematics

Year:

2019

File:

PDF, 765 KB

2019

31

An improved bound on the packing dimension of Furstenberg sets in the plane

Orponen, Tuomas

Journal:

Journal of the European Mathematical Society

Year:

2019

File:

PDF, 313 KB

2019

32

Vertical versus horizontal Sobolev spaces

FÃ¤ssler, Katrin, Orponen, Tuomas

Journal:

Journal of Functional Analysis

Year:

2020

File:

PDF, 1.48 MB

2020

33

On the Assouad dimension of projections

Orponen, Tuomas

Journal:

Proceedings of the London Mathematical Society

Year:

2020

File:

PDF, 645 KB

2020

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