Finite square function implies integer dimension

Svitlana Mayboroda; Alexander Volberg

doi:10.1016/j.crma.2009.09.020

Finite square function implies integer dimension

Svitlana Mayboroda
, Alexander Volberg

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Following a recent paper (Tolsa and Ruiz de Villa, 2008) we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure H^s implies that s is integer. To cite this article: S. Mayboroda, A. Volberg, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Original language	English (US)
Pages (from-to)	1271-1276
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	347
Issue number	21-22
DOIs	https://doi.org/10.1016/j.crma.2009.09.020
State	Published - Nov 2009

Publisher link

10.1016/j.crma.2009.09.020

Find It

Find It at U of M Libraries

Cite this

@article{aaf9f3bbbf564b5286c26565def76ed4,

title = "Finite square function implies integer dimension",

abstract = "Following a recent paper (Tolsa and Ruiz de Villa, 2008) we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure Hs implies that s is integer. To cite this article: S. Mayboroda, A. Volberg, C. R. Acad. Sci. Paris, Ser. I 347 (2009).",

author = "Svitlana Mayboroda and Alexander Volberg",

year = "2009",

month = nov,

doi = "10.1016/j.crma.2009.09.020",

language = "English (US)",

volume = "347",

pages = "1271--1276",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "21-22",

}

TY - JOUR

T1 - Finite square function implies integer dimension

AU - Mayboroda, Svitlana

AU - Volberg, Alexander

PY - 2009/11

Y1 - 2009/11

N2 - Following a recent paper (Tolsa and Ruiz de Villa, 2008) we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure Hs implies that s is integer. To cite this article: S. Mayboroda, A. Volberg, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

AB - Following a recent paper (Tolsa and Ruiz de Villa, 2008) we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure Hs implies that s is integer. To cite this article: S. Mayboroda, A. Volberg, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

UR - https://www.scopus.com/pages/publications/71749121808

UR - https://www.scopus.com/pages/publications/71749121808#tab=citedBy

U2 - 10.1016/j.crma.2009.09.020

DO - 10.1016/j.crma.2009.09.020

M3 - Article

AN - SCOPUS:71749121808

SN - 1631-073X

VL - 347

SP - 1271

EP - 1276

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 21-22

ER -

Finite square function implies integer dimension

Abstract

Publisher link

Find It

Other files and links

Fingerprint

Cite this