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math.CA2024
New variable weighted conditions for fractional maximal operators over spaces of homogeneous type
Xi Cen
Based on the rapid development of dyadic analysis and the theory of variable weighted function spaces over the spaces of homogeneous type in recent years, we systematical…
math.CA2024
Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type
Xi Cen
Let is a space of homogeneous type, we establish a new class of fractional-type variable weights . Then, we get the new weighted strong-type an…
math.FA2024
Extrapolation to product Morrey-Herz spaces and applications
Xi Cen, Zichen Song
The purpose of this paper is threefold. First, we introduce product Morrey-Herz spaces and product block-Herz spaces, establish their duality, and prove the boundedness of the stro…