Product Space Singular Integrals with Mild Kernel Regularity

Emil Airta; Henri Martikainen; Emil Vuorinen

doi:10.1007/s12220-021-00757-3

Product Space Singular Integrals with Mild Kernel Regularity

Emil Airta
, Henri Martikainen
, Emil Vuorinen

Department of Mathematics

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

3 Scopus citations

Abstract

We develop product space theory of singular integrals with mild kernel regularity. We study these kernel regularity questions specifically in situations that are very tied to the T1 type arguments and the corresponding structural theory. In addition, our results are multilinear.

Original language	English
Article number	24
Journal	Journal of Geometric Analysis
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/s12220-021-00757-3
State	Published - Jan 2022

Keywords

Commutators
Kernel regularity
Multi-parameter analysis
Multilinear analysis
Singular integrals
Weighted estimates

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10.1007/s12220-021-00757-3

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title = "Product Space Singular Integrals with Mild Kernel Regularity",

abstract = "We develop product space theory of singular integrals with mild kernel regularity. We study these kernel regularity questions specifically in situations that are very tied to the T1 type arguments and the corresponding structural theory. In addition, our results are multilinear.",

keywords = "Commutators, Kernel regularity, Multi-parameter analysis, Multilinear analysis, Singular integrals, Weighted estimates",

author = "Emil Airta and Henri Martikainen and Emil Vuorinen",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2022",

month = jan,

doi = "10.1007/s12220-021-00757-3",

language = "English",

volume = "32",

journal = "Journal of Geometric Analysis",

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TY - JOUR

T1 - Product Space Singular Integrals with Mild Kernel Regularity

AU - Airta, Emil

AU - Martikainen, Henri

AU - Vuorinen, Emil

PY - 2022/1

Y1 - 2022/1

N2 - We develop product space theory of singular integrals with mild kernel regularity. We study these kernel regularity questions specifically in situations that are very tied to the T1 type arguments and the corresponding structural theory. In addition, our results are multilinear.

AB - We develop product space theory of singular integrals with mild kernel regularity. We study these kernel regularity questions specifically in situations that are very tied to the T1 type arguments and the corresponding structural theory. In addition, our results are multilinear.

KW - Commutators

KW - Kernel regularity

KW - Multi-parameter analysis

KW - Multilinear analysis

KW - Singular integrals

KW - Weighted estimates

UR - https://www.scopus.com/pages/publications/85121011990

U2 - 10.1007/s12220-021-00757-3

DO - 10.1007/s12220-021-00757-3

M3 - Article

AN - SCOPUS:85121011990

SN - 1050-6926

VL - 32

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 1

M1 - 24

ER -

Product Space Singular Integrals with Mild Kernel Regularity

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Keywords

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