Results 31 to 40 of about 34,092 (246)
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
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On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space
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.
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Boundedness of Multidimensional Dunkl-Hausdorff Operators
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
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Solving Integral Representations Problems for the Stationary Schrödinger Equation
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
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Marcinkiewicz Integrals on Weighted Weak Hardy Spaces
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
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Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space
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
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EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT
18 pages, Submitted.
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On the 3D steady flow of a second grade fluid past an obstacle
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
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Chaos for Cosine Operator Functions on Groups
Let 1 ...
Chung-Chuan Chen
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Realization and characterization of modulus of smoothness in weighted Lebesgue spaces [PDF]
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 ...
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