UMD -Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

Emil Airta; Henri Martikainen; Emil Vuorinen

doi:10.1007/s00041-022-09960-4

UMD -Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

Emil Airta
, Henri Martikainen
, Emil Vuorinen

Department of Mathematics

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

2 Scopus citations

Abstract

Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.

Original language	English
Article number	64
Journal	Journal of Fourier Analysis and Applications
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s00041-022-09960-4
State	Published - Aug 2022

Keywords

Kernel regularity
Multilinear analysis
Singular integrals
UMD spaces

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10.1007/s00041-022-09960-4

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@article{9ea8be2367954dba847cd69d33be3949,

title = "UMD -Extensions of Calder{\'o}n–Zygmund Operators with Mild Kernel Regularity",

abstract = "Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calder{\'o}n–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.",

keywords = "Kernel regularity, Multilinear analysis, Singular integrals, UMD spaces",

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

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = aug,

doi = "10.1007/s00041-022-09960-4",

language = "English",

volume = "28",

journal = "Journal of Fourier Analysis and Applications",

issn = "1069-5869",

number = "4",

}

TY - JOUR

T1 - UMD -Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

AU - Airta, Emil

AU - Martikainen, Henri

AU - Vuorinen, Emil

PY - 2022/8

Y1 - 2022/8

N2 - Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.

AB - Armed with new methods we revisit a result of Figiel concerning the UMD -extensions of linear Calderón–Zygmund operators with mild kernel regularity and then extend our new proof to the multilinear setting improving recent UMD -valued estimates of multilinear singular integrals.

KW - Kernel regularity

KW - Multilinear analysis

KW - Singular integrals

KW - UMD spaces

UR - https://www.scopus.com/pages/publications/85134384788

U2 - 10.1007/s00041-022-09960-4

DO - 10.1007/s00041-022-09960-4

M3 - Article

AN - SCOPUS:85134384788

SN - 1069-5869

VL - 28

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 4

M1 - 64

ER -

UMD -Extensions of Calderón–Zygmund Operators with Mild Kernel Regularity

Abstract

Keywords

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