Muckenhoupt-Type Conditions on Weighted Morrey Spaces

نویسندگان

چکیده

We define a Muckenhoup-type condition on weighted Morrey spaces using the Köthe dual of space. show that is necessary and sufficient for boundedness maximal operator defined with balls centered at origin spaces. A modified characterizes inequalities Calderón operator. also local usual Hardy–Littlewood operator, simplifying previous characterization Nakamura–Sawano–Tanaka. For same in case global sufficiency we add $$A_p$$ condition. can extrapolate from Lebesgue -weighted to very general setting, applications many operators.

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ژورنال

عنوان ژورنال: Journal of Fourier Analysis and Applications

سال: 2021

ISSN: ['1531-5851', '1069-5869']

DOI: https://doi.org/10.1007/s00041-021-09839-w