Commutators with Coefficients in CMO of Weighted Hardy Operators in Generalized Local Morrey Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
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
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
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
Thomas Hardy's impulse: context and the counterfactual imagination
Sign Up to like & getrecommendations! Published in 2020 at "Textual Practice"
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
Sign Up to like & getrecommendations! Published in 2021 at "Cultural and Social History"
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
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
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
Sign Up to like & getrecommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"
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