Results 11 to 20 of about 34,092 (246)

A Capacity Associated with the Weighted Lebesgue Space and Its Applications

Journal of Function Spaces, 2022
In this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂t+−Δxαut,x=0, ∀α,t,x∈0,1×0,∞×ℝn,u0,x=fx, ∀x∈ℝn..
Guoliang Li, Guanglan Wang, Lei Zhang
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WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE

Journal of Science and Arts, 2023
In this paper, we introduce the weighted variable exponent Lebesgue spaces defined on a probability space and give some information about the martingale theory of these spaces. We first prove several basic inequalities for expectation operators and obtain several norm convergence conditions for martingales in weighted variable exponent Lebesgue spaces.
İsmail Aydın, Demet Aydın
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WeightedBMOEstimates for Toeplitz Operators on Weighted Lebesgue Spaces [PDF]

Journal of Function Spaces, 2015
The authors establish the weightedBMOestimates for a class of Toeplitz operators related to strongly singular Calderón-Zygmund operators on weighted Lebesgue spaces. Moreover, the corresponding result for the Toeplitz operators related to classical Calderón-Zygmund operators can be deduced.
Yan Lin, Mengmeng Zhang
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The Smirnov Property for Weighted Lebesgue Spaces

Mathematics
We establish lower norm bounds for multivariate functions within weighted Lebesgue spaces, characterised by a summation of functions whose components solve a system of nonlinear integral equations. This problem originates in portfolio selection theory, where these equations allow one to identify mean-variance optimal portfolios, composed of standard ...
Eberhard Mayerhofer
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Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces [PDF]

Journal of Fourier Analysis and Applications, 2020
In this paper, we obtain sufficient conditions for the weighted Fourier-type transforms to be bounded in Lebesgue and Lorentz spaces. Two types of results are discussed. First, we review the method based on rearrangement inequalities and the corresponding Hardys inequalities.
Nursultanov, Erlan, Tikhonov, Sergey
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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces [PDF]

Journal of Inequalities and Applications, 2013
The authors consider bilinear multipliers of the form \[ (f,g) \mapsto \int \limits _{\mathbb{R}^{n}} \int \limits _{\mathbb{R}^{n}} \widehat{f}(\xi)\widehat{g}(\eta)m(\xi,\eta)\exp(2i\pi \langle \cdot, \xi+\eta \rangle)d\xi d\eta, \] acting on weighted or variable exponent \(L^p\) spaces (here \(m\in L^{\infty}(\mathbb{R}^{2n};\mathbb{C})\)).
Kulak, Oznur, Gurkanli, A. Turan
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Cauchy Problems in Weighted Lebesgue Spaces [PDF]

Czechoslovak Mathematical Journal, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cholewa, Jan W., Dlotko, Tomasz
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Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight [PDF]

Kragujevac Journal of Mathematics, 2022
The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.
SABINA R. SADIGOVA, Aysel Guliyeva
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Approximation of the functions in weighted Lebesgue spaces with variable exponent

Complex Variables and Elliptic Equations, 2017
In the present work, we investigate the approximation problems of the functions by Fejer, and Zygmund means of Fourier trigonometric series in weighted Lebesgue spaces with variable exponents and o...
Sadulla Z. Jafarov
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A Note on Noneffective Weights in Variable Lebesgue Spaces [PDF]

Journal of Function Spaces and Applications, 2012
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show thatLp(⋅)(Ω)=Lωp(⋅)(Ω)if and only ifω(x)1/p(x)~constantin the set wherep(⋅)<∞, andω(x)~constantin the set wherep(⋅)=∞.
FIORENZA, ALBERTO, M. Krbec
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