Results 11 to 20 of about 33,958 (245)

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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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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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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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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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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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, E., Tikhonov, S.
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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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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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Bergman Projection on Lebesgue Space Induced by Doubling Weight

Results in Mathematics, 2023
AbstractLet $$\omega $$ ω and $$\nu $$ ν be radial weights on the unit disc of the complex plane, and denote $$\sigma =\omega ^{p'} \nu ^{-\frac{p'}{p}}$$ σ = ω
José Ángel Peláez, Elena de la Rosa, Jouni Rättyä   +2 more
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On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

Fractal and Fractional, 2021
In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of the ...
Maksim V. Kukushkin
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