On some new paraproduct uniform estimate relating to T1 theorem

Journal article

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Publication Details

Author list: Klamsakul N.

Publisher: International Publications

Publication year: 2019

Volume number: 29

Issue number: 2

Start page: 13

End page: 19

Number of pages: 7

ISSN: 1064-9735

eISSN: 1064-9735

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85064190397&partnerID=40&md5=0ad700f57a7e2e6cc5e7dddfdb12119a

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we prove that the paraproduct Π arisen from establishing T1 theorem in the work of Nazarov, Treil, and Volberg on non-homogeneous spaces is bounded from L p × L q to L r where (formula presented) for p,q>1. © 2019, International Publications. All rights reserved.

Keywords

Calder๓n-Zygmund operators, Paraproduct estimates, T1 theorem