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Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]
, 2014 In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
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The Stability of Weighted Lebesgue Spaces [PDF]
Transactions of the American Mathematical Society, 1959 0. Introduction and summary. The original and principal problem studied in this paper is that of finding conditions to be satisfied by a positive "weight function" w on a locally compact group in order that the set of functions f such that f Pw is integrable (relative to left Haar measure) shall be stable under left (or right) translations.
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The Laguerre transform of a convolution product of vector-valued functions.
Математичні Студії, 2021 The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
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Littlewood-Paley equivalence and homogeneous Fourier multipliers [PDF]
, 2016 We consider certain Littlewood-Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for H\"ormander's theorem on the ...
Sato, Shuichi
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On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]
, 2009 In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo +2 more
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Embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces [PDF]
Journal of Mathematical Inequalities, 2015 In this paper, the embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces are investigated.
Mustafayev, R. Ch., Unver, T.
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Convolution Algebraic Structures Defined by Hardy-Type Operators
Journal of Function Spaces and Applications, 2013 The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
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Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators
Journal of Function Spaces and Applications, 2013 We establish the weighted estimates for the commutators HΩ,b and HΩ,b∗ which are generated by the n-dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces.
Zhuanxi Ren, Shuangping Tao
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Radial nonlinear elliptic problems with singular or vanishing potentials [PDF]
, 2017 In this paper we prove existence of radial solutions for the nonlinear elliptic problem \[ -\mathrm{div}(A(|x|)\nabla u)+V(|x|)u=K(|x|)f(u) \quad \text{in }\mathbb{R}^{N}, \] \noindent with suitable hypotheses on the radial potentials $A,V,K$.
Badiale, Marino, Zaccagni, Federica
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