Results 1 to 10 of about 33,463 (111)
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
doaj +2 more sources
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 +2 more
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
core +3 more sources
Weighted Ricci curvature estimates for Hilbert and Funk geometries [PDF]
, 2012 We consider Hilbert and Funk geometries on a strongly convex domain in the Euclidean space. We show that, with respect to the Lebesgue measure on the domain, Hilbert (resp. Funk) metric has the bounded (resp.
Ohta, Shin-ichi
core +3 more sources