Results 111 to 120 of about 3,337 (162)
Rough fractional integral operators and beyond Adams inequalities
Mathematical Inequalities & Applications, 2019 We consider the boundedness of fractional integral operators with rough kernel from Morrey spaces Lp,λ to Lq,μ . Our main concern is proving the boundedness property for μ < λ as an extension of Adams inequality on some special subsets of the operator’s ...
Daniel Salim, Y. Soeharyadi, W. S. Budhi
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Solitons in gauge theories: Existence and dependence on the charge
Advances in Nonlinear Analysis, 2014 In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
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Bellman function approach to the sharp constants in uniform convexity [PDF]
arXiv, 2014 We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.
arxiv
Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces
, 2014 We study the boundedness of Φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,φ(Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as
V. Guliyev, F. Deringoz, J. Hasanov
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International Journal of Apllied Mathematics, 2019 In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent L̃ p(·),λ ω (Ω), where Ω ⊂ R are unbounded sets. After that we
J. Hasanov, A. Musayev
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Analysis and Geometry in Metric Spaces, 2020 Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
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Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications [PDF]
arXiv, 2013 In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$. Using Mellin transform argument, from this estimates we obtain boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to
arxiv
The role of an integration identity in the analysis of the Cauchy-Leray transform [PDF]
arXiv, 2017 The purpose of this paper is to complement the results in [LS-1] by showing the dense definability of the Cauchy-Leray transform for the domains that give the counterexamples of [LS-1], where $L^p$-boundedness is shown to fail when either the "near" $C^2$ boundary regularity, or the strong $\mathbb C$-linear convexity assumption is dropped.
arxiv
Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]
arXiv, 2004 A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized $L^p$ spaces with variable exponent.
arxiv
On modular inequalities in variable L^p spaces [PDF]
arXiv, 2004 We show that the Hardy-Littlewood maximal operator and a class of Calder\'on-Zygmund singular integrals satisfy the strong type modular inequality in variable $L^p$ spaces if and only if the variable exponent $p(x)\sim const$.
arxiv