Notes on pseudodifferential operators commutators and Lipschitz functions

Autor: Deng Yu-long
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Open Mathematics, Vol 21, Iss 1, Pp 611-635 (2023)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2023-0130
Popis: This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the homogeneous Triebel-Lizorkin space F˙pγ,∞(Rn){\dot{F}}_{p}^{\gamma ,\infty }\left({{\bf{R}}}^{n}) and from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into Lq(Rn){L}^{q}\left({{\bf{R}}}^{n}).
Databáze: Directory of Open Access Journals