Boundedness of a class of bi-parameter square functions in the upper half-space

Henri Martikainen

doi:10.1016/j.jfa.2014.09.006

Boundedness of a class of bi-parameter square functions in the upper half-space

Henri Martikainen

Department of Mathematics

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

5 Scopus citations

Abstract

We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes.

Original language	English
Pages (from-to)	3580-3597
Number of pages	18
Journal	Journal of Functional Analysis
Volume	267
Issue number	10
DOIs	https://doi.org/10.1016/j.jfa.2014.09.006
State	Published - Nov 15 2014

Keywords

Bi-parameter
Square function
T1 theorem

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10.1016/j.jfa.2014.09.006

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title = "Boundedness of a class of bi-parameter square functions in the upper half-space",

abstract = "We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes.",

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AB - We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes.

KW - Bi-parameter

KW - Square function

KW - T1 theorem

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DO - 10.1016/j.jfa.2014.09.006

M3 - Article

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EP - 3597

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

Boundedness of a class of bi-parameter square functions in the upper half-space

Abstract

Keywords

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