Results 31 to 40 of about 34,092 (246)

Boundedness for Parametrized Littlewood-Paley Operators with Rough Kernels on Weighted Weak Hardy Spaces

open access: yesAbstract and Applied Analysis, 2013
The authors prove that the parametrized area integral and function are bounded from the weighted weak Hardy space to the weighted weak Lebesgue space as satisfies a class of the integral Dini condition, respectively.
Ximei Wei, Shuangping Tao
doaj   +1 more source

On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

open access: yesUkrainian Mathematical Journal, 2022
UDC 517.5 We study growth rates of derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.
Abdullayev, F. G., Imashkyzy, M.
openaire   +2 more sources

Boundedness of Multidimensional Dunkl-Hausdorff Operators

open access: yesJournal of Function Spaces, 2020
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
doaj   +1 more source

Solving Integral Representations Problems for the Stationary Schrödinger Equation

open access: yesAbstract and Applied Analysis, 2013
When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.
Yudong Ren
doaj   +1 more source

Marcinkiewicz Integrals on Weighted Weak Hardy Spaces

open access: yesJournal of Function Spaces, 2014
We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
doaj   +1 more source

Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space

open access: yesJournal of Inequalities and Applications, 2016
The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work.
Tofig Najafov   +2 more
doaj   +1 more source

On the 3D steady flow of a second grade fluid past an obstacle

open access: yes, 2010
We study steady flow of a second grade fluid past an obstacle in three space dimensions. We prove existence of solution in weighted Lebesgue spaces with anisotropic weights and thus existence of the wake region behind the obstacle.
A. Novotný   +11 more
core   +1 more source

Chaos for Cosine Operator Functions on Groups

open access: yesAbstract and Applied Analysis, 2014
Let 1 ...
Chung-Chuan Chen
doaj   +1 more source

Realization and characterization of modulus of smoothness in weighted Lebesgue spaces [PDF]

open access: yesSt. Petersburg Mathematical Journal, 2015
We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces \(L_{\omega}^{p}\), \(1 < p < \infty\), with weights \(\omega\) satisfying the Muckenhoupt’s \(A_{p}\) condition. Also, a realization result and equivalence between modulus of smoothness and the Peetre \(K\)-functional are proved in \(L_{\omega}^{p}\) for ...
openaire   +5 more sources

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