Open AccessWeighted Lebesgue and central Morrey estimates for -adic multilinear Hausdorff operators and its commutators
Author(s) -
Nguyen Minh Chuong,
Dao Van Duong,
Kieu Huu Dung
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i7.441
Subject(s) - multilinear map , hausdorff space , mathematics , lebesgue integration , pure mathematics , lp space , standard probability space , product (mathematics) , space (punctuation) , banach space , computer science , geometry , operating system
UDC 517.9We establish the sharp boundedness of -adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of -adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obtained.