Boundedness Of Bilinear Bi-parameter Littlewood-paley Square Functions

Posted on:2022-07-30

Degree:Master

Type:Thesis

Country:China

Candidate:X Y Li

Full Text:PDF

GTID:2480306737953509

Subject:Mathematics

Abstract/Summary:

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In the dissertation,we introduce a class of bilinear bi-parameter Littlewoodpaley square functions.Applying Calder(?)n’s reproducing formulas and almost orthogonal estimates,we prove that these functions are bounded on Lebesgue spaces.

Keywords/Search Tags:

Bilinear bi-parameter, Littlewood-paley square function, Calder(?)n’s reproducing formula, Lebesgue space

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