Estimates of intrinsic square functions on generalized weighted Morrey spaces (Q403229)

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scientific article; zbMATH DE number 6335885
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Estimates of intrinsic square functions on generalized weighted Morrey spaces
scientific article; zbMATH DE number 6335885

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    Estimates of intrinsic square functions on generalized weighted Morrey spaces (English)
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    29 August 2014
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    Summary: We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces \(M^{p,\varphi}(\omega)\), including the strong type estimates and weak type estimates. Moreover, we define the \(k\)th-order commutators generated by \(BMO(\mathbb R^n)\) functions and intrinsic functions, and obtain their strong type estimates on \(M^{p,\varphi}(\omega)\). In some cases, we improve previous results.
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    intrinsic functions
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    weighted Morrey spaces
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    weak-type estimates
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