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Off-diagonal estimates for bi-parameter commutators

Year of publication

2023

Authors

Oikari, Tuomas

Abstract

We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces [b,T]:Lp1Lp2→Lq1Lq2 in the off-diagonal situation qi,pi∈(1,∞) where we allow qi≠pi. Boundedness is fully characterized in terms of oscillatory testing conditions on the function b for a total seven out of the nine possible arrangements of the integrability exponents.
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Organizations and authors

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Volume

48

Issue

1

Pages

81-112

​Publication forum

89716

​Publication forum level

2

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Fully open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object]

Publication country

Finland

Internationality of the publisher

Domestic

Language

English

International co-publication

No

Co-publication with a company

No

DOI

10.54330/afm.125812

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes