Some endpoint estimates for bilinear paraproducts and applications
Salvador Rodr\'iguez-L\'opez, Wolfgang Staubach
TL;DR
This paper proves boundedness results for bilinear paraproducts on local BMO spaces and explores related operators, providing new endpoint estimates and extending understanding of bilinear harmonic analysis.
Contribution
It establishes the boundedness of bilinear paraproducts on local BMO spaces and investigates related bilinear operators, including Fourier integral operators and Coifman-Meyer multipliers.
Findings
Boundedness of bilinear paraproducts on local BMO spaces.
Boundedness of bilinear Fourier integral operators and Coifman-Meyer multipliers.
An endpoint result for Kato-Ponce type estimates.
Abstract
In this paper we establish the boundedness of bilinear paraproducts on local BMO spaces. As applications, we also investigate the boundedness of bilinear Fourier integral operators and bilinear Coifman-Meyer multipliers on these spaces and also obtain a certain end-point result concerning Kato-Ponce type estimates.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations