Results 1 to 10 of about 34,010 (173)

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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Multipliers in weighted Sobolev spaces on the axis [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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Necessary and Sufficient Conditions for the Boundedness of Multiple Integral Operators with Super-Homogeneous Kernels in Weighted Lebesgue Space

Axioms
Super-homogeneous functions including homogeneous functions, quasi-homogeneous functions, and several non-homogeneous functions are considered. Using the weight function method, the construction conditions of Hilbert-type multiple integral inequalities ...
Yong Hong, Bing He, Lijuan Zhang
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Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms

Electronic Journal of Differential Equations, 2016
In this article we study a connection between two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norm.
Rovshan A. Bandaliyev
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On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we consider the questions about the weighted integrability of the sum of series with respect to multiplicative systems with monotone coefficients.
M.Zh. Turgumbaev, Z.R. Suleimenova, D.I. Tungushbaeva   +2 more
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Closed range weighted composition operators between L^{p}-spaces [PDF]

Opuscula Mathematica, 2021
We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.
Ching-on Lo, Anthony Wai-keung Loh
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Sum of weighted Lebesgue spaces and nonlinear elliptic equations [PDF]

Nonlinear Differential Equations and Applications, 2011
Marino Badiale, Lorenzo Pisani, Sérgio Rolando   +2 more
exaly   +2 more sources

Boundedness of One Class of Integral Operators from Second Order Weighted Sobolev Space to Weighted Lebesgue Space

Journal of Function Spaces, 2022
In the paper, for a certain class of Hardy operators with kernels, we consider the problem of their boundedness from a second order weighted Sobolev space to a weighted Lebesgue space.
Aigerim Kalybay
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Boundedness and Compactness of Hankel Operators on Large Fock Space

Journal of Function Spaces, 2022
We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fpϕ into a weighted Lebesgue space Lpϕ when 1 ...
Xiaofeng Wang, Zhicheng Zeng
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Weighted Lipschitz estimates for commutators of multilinear Calderón–Zygmund operators with Dini type kernels

Journal of Inequalities and Applications, 2022
In this paper, we discuss the properties for commutators and iterated commutators generated by the multilinear ω-CZO and weighted Lipschitz functions on Lebesgue space.
Jie Sun
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