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
Commutators and generalized local Morrey spaces
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DOI: 10.1016/j.jmaa.2016.09.070
Abstract: Abstract In this paper we study the behavior of Hardy–Littlewood maximal operator and the action of commutators in generalized local Morrey spaces L M { x 0 } p , φ ( R n )… read more here.
Keywords: commutators generalized; morrey spaces; local morrey; generalized local ... See more keywords
On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer
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DOI: 10.1080/00927872.2021.1897831
Abstract: Abstract Let n and t be non-negative integers, R a commutative Noetherian ring with an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if is an R-module… read more here.
Keywords: modules respect; module; local cohomology; generalized local ... See more keywords
Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces
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DOI: 10.1080/17476933.2017.1403423
Abstract: ABSTRACT In this paper we prove the boundedness of certain sublinear operators , , generated by fractional integral operators with rough kernels , , from one generalized local Morrey space to another , , ,… read more here.
Keywords: local morrey; space; sublinear operators; boundedness sublinear ... See more keywords
On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals
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DOI: 10.11650/tjm/8112
Abstract: We study the finiteness of associated primes and support of the generalized local cohomology modules H I,J(M,N) concerning Grothendieck’s conjecture and Huneke’s question. The paper also discusses the relationship between the vanishing and the finiteness… read more here.
Keywords: finiteness results; local cohomology; results generalized; generalized local ... See more keywords