Boundedness of bilinear pseudo‐differential operators with BS0,0m$BS^{m}_{0,0}$ symbols on Sobolev spaces-Reference-Cited by-同舟云学术

Boundedness of bilinear pseudo‐differential operators with BS0,0m$BS^{m}_{0,0}$ symbols on Sobolev spaces

Published:2023-07-14 Issue:10 Volume:296 Page:4806-4834
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Shida Naoto¹

Affiliation:

1. Department of Mathematics Graduate School of Science Osaka University Toyonaka, Osaka Japan

Abstract

AbstractIn this paper, bilinear pseudo‐differential operators with symbols in the bilinear Hörmander class are considered. In particular, the boundedness of these operators on Sobolev spaces is established. Our main result is proved by using symbolic calculus and the boundedness of those operators with certain S0, 0‐type symbols on Lebesgue spaces.

Funder

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202200169

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