Sublinear operators in generalized weighted Morrey spaces
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Generalized weighted Morrey spaces defined on spaces of homogeneous type are introduced by using weight functions in the Muckenhoupt class. Theorems on the boundedness of a large class of sublinear operators on these spaces are presented. The classes of sublinear operators under consideration contain a whole series of important operators of harmonic analysis, such as, e.g., maximal functions, singular and fractional integrals, Bochner–Riesz means, and so on.
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- 2.S. Shi, Z. Fu, and F. Zhao, J. Ineq. Appl. Art. 2013–2390 (2013).Google Scholar