Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces

Autor: Wang Hailian, Xie Rulong
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Open Mathematics, Vol 19, Iss 1, Pp 1779-1800 (2021)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2021-0139
Popis: Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for two kinds of commutators, which are iterated commutators and commutators in summation form, generated by multilinear strongly singular integral operators with RBMO(μ)\left(\mu ) function on nonhomogeneous metric measure spaces (X,d,μ)\left(X,d,\mu ) is obtained.
Databáze: Directory of Open Access Journals