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
On scales of Sobolev spaces associated to generalized Hardy operators
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DOI: 10.1007/s00209-020-02651-0
Abstract: We consider the fractional Laplacian with Hardy potential and study the scale of homogeneous $L^p$ Sobolev spaces generated by this operator. Besides generalized and reversed Hardy inequalities, the analysis relies on a Hormander multiplier theorem… read more here.
Keywords: associated generalized; hardy; spaces associated; scales sobolev ... See more keywords
Improvement of some discrete Hardy inequalities with variants
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DOI: 10.1017/s0017089524000296
Abstract: Abstract In this paper, we establish a new version of one-dimensional discrete improved Hardy’s inequality with shifts by introducing a shifting discrete Dirichlet’s Laplacian. We prove that the general discrete Hardy’s inequality as well as… read more here.
Keywords: improvement discrete; discrete hardy; hardy inequalities; hardy ... See more keywords
Thomas Hardy's impulse: context and the counterfactual imagination
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DOI: 10.1080/0950236x.2018.1508493
Abstract: ABSTRACT Focusing on the impulsive act, this essay analyzes the relationship between the temporality of decision making and the determination of social context in Hardy's A Pair of Blue Eyes (1873), The Woodlanders (1887), and… read more here.
Keywords: hardy; context; act; counterfactual imagination ... See more keywords
Mary Hardy and her world, 1773-1809
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DOI: 10.1080/14780038.2021.1889675
Abstract: The work under review comprises four companion volumes of commentary and analysis to the diary of Mary Hardy and the much shorter journal of her nephew Henry Raven, previously edited by Margaret Bi... read more here.
Keywords: hardy world; hardy; 1773 1809; world 1773 ... See more keywords
Weighted inequalities for fractional Hardy operators and commutators
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DOI: 10.1186/s13660-019-2108-5
Abstract: In this paper, we introduce a fractional maximal operators Nα$N_{\alpha }$ on (0,∞)$(0,\infty )$ associated to the fractional Hardy operator Pα$P_{\alpha }$ and its dual Qα,0≤α read more here.
Keywords: hardy; operators commutators; inequalities fractional; fractional hardy ... See more keywords
Boundedness of both discrete Hardy and Hardy–Littlewood maximal operators via Muckenhoupt weights
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DOI: 10.1216/rmj.2021.51.733
Abstract: We employ the self-improving property (backward propagation) for the discrete Muckenhoupt class ????p, to prove that both discrete Hardy and discrete Hardy–Littlewood maximal operators are bounded on the usual weighted Lebesgue space lup(ℤ+) if and… read more here.
Keywords: hardy littlewood; hardy; littlewood maximal; maximal operators ... See more keywords
On ψg-interpolative Hardy-Rogers type contractions over rectangular quasi-partial b-metric space with an application
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DOI: 10.2298/fil2422847g
Abstract: In the present study, the concept of a new type of contraction namely ?g-interpolative Hardy-Rogers contraction is introduced which is a unification of g-interpolation and Hardy-Rogers contraction. By utilizing this concept, unique results of the… read more here.
Keywords: interpolative hardy; hardy rogers; hardy; quasi partial ... See more keywords