Boundedness of some operators on grand generalized Morrey spaces over non-homogeneous spaces

• Published in: AIMS mathematics Vol. 7; no. 1; pp. 1000 - 1014
• Main Authors: He, Suixin, Tao, Shuangping
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: fractional integral operator; grand generalized morrey space; maximal operator; non-doubling measure; θ-type calderón-zygmund operator

The aim of this paper is to obtain the boundedness of some operator on grand generalized Morrey space $ \mathcal{L}^{p), \varphi, \phi}_{\mu}(G) $ over non-homogeneous spaces, where $ G\subset $ $ \mathbb{R}^{n} $ is a bounded domain. Under assumption that functions $ \varphi $ and $ \phi $ satisfy...