Bi-parameter and bilinear Calderón–Vaillancourt theorem with critical order-Reference-Cited by-同舟云学术

Bi-parameter and bilinear Calderón–Vaillancourt theorem with critical order

Published:2024-01-31 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Chen Jiao¹,Huang Liang²,Lu Guozhen³

Affiliation:

1. [ 12524]Chongqing Normal University, Chongqing 400000 , P. R. China

2. [ 117768]Xi’an University of Posts and Telecommunications, Xi’an 710121 , P. R. China

3. University of Connecticut , Storrs , CT 06269 , USA

Abstract

Abstract In this paper, we establish the sharp Calderón–Vaillancourt theorem on L p

L^{p}

spaces for bi-parameter and bilinear pseudo-differential operators with symbols of critical order by deriving a sufficient and necessary condition on its symbol. This sharpens the result of [G. Lu and L. Zhang, Bi-parameter and bilinear Calderón–Vaillancourt theorem with subcritical order, Forum Math. 28 2016, 6, 1087–1094] which was only proved for symbols of subcritical order.

Funder

Natural Science Foundation of Shaanxi Province

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2023-0458/pdf

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