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Mapping Properties for Fractional Integral Related to Schr?dinger Operator on Generalized Fractional Mixed Morrey Spaces

DOI: 10.4236/jamp.2026.141013, PP. 258-271

Keywords: Schr?dinger Operator, Fractional Integral, Generalized Fractional Mixed Morrey Space, Commutator, Boundedness

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Abstract:

This paper establishes the boundedness of fractional integral operators associated with Schr?dinger operators and their commutators with BM O θ ( ρ ) functions on generalized fractional mixed Morrey spaces. This is achieved by employing function decomposition and stratification techniques in these spaces, while drawing on known boundedness results in the context of mixed Lebesgue spaces.

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