Commutators with Coefficients in CMO of Weighted Hardy Operators in Generalized Local Morrey Spaces
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DOI: 10.1007/s00009-017-0872-3
Abstract: We prove theorems on the boundedness of commutators $$[a,H_w^\alpha ]$$[a,Hwα] of the weighted multidimensional Hardy operator $$H^\alpha _w:= w H^\alpha \frac{1}{w}$$Hwα:=wHα1w from a generalized local Morrey space $$\mathcal {L}^{p,\varphi ;0}({\mathbb {R}^n})$$Lp,φ;0(Rn) to local or global… read more here.
Keywords: local morrey; hardy; morrey spaces; space ... See more keywords
Variable Exponent Besov–Morrey Spaces
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DOI: 10.1007/s00041-019-09711-y
Abstract: In this paper we introduce Besov–Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of… read more here.
Keywords: morrey spaces; morrey; besov morrey; variable exponent ... See more keywords