A weak type estimate for rough singular integrals

Andrei K. Lerner

doi:10.4171/rmi/1094

A weak type estimate for rough singular integrals

Andrei K. Lerner

Department of Mathematics

Bar-Ilan University

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

Abstract

We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals TΩ. In particular, this provides a different approach to a sparse domination for TΩ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

Original language	English
Pages (from-to)	1583-1602
Number of pages	20
Journal	Revista Matematica Iberoamericana
Volume	35
Issue number	5
DOIs	https://doi.org/10.4171/rmi/1094
State	Published - 2019

Keywords

Maximal operators
Rough singular integrals
Sparse bounds

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4171/rmi/1094

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title = "A weak type estimate for rough singular integrals",

abstract = "We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals TΩ. In particular, this provides a different approach to a sparse domination for TΩ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.",

keywords = "Maximal operators, Rough singular integrals, Sparse bounds",

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note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2019",

doi = "10.4171/rmi/1094",

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T1 - A weak type estimate for rough singular integrals

AU - Lerner, Andrei K.

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2019

Y1 - 2019

N2 - We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals TΩ. In particular, this provides a different approach to a sparse domination for TΩ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

AB - We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals TΩ. In particular, this provides a different approach to a sparse domination for TΩ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

KW - Maximal operators

KW - Rough singular integrals

KW - Sparse bounds

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U2 - 10.4171/rmi/1094

DO - 10.4171/rmi/1094

M3 - مقالة

SN - 0213-2230

VL - 35

SP - 1583

EP - 1602

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 5

ER -

A weak type estimate for rough singular integrals

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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