Hardy’s inequalities and integral operators on Herz-Morrey spaces

Autor: Yee Tat-Leung, Ho Kwok-Pun
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Open Mathematics, Vol 18, Iss 1, Pp 106-121 (2020)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2020-0008
Popis: We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.
Databáze: Directory of Open Access Journals