Results 41 to 50 of about 4,962 (192)
Local approach to order continuity in Ces\`aro function spaces
, 2017 The goal of this paper is to present a complete characterisation of points of order continuity in abstract Ces\`aro function spaces $CX$ for $X$ being a symmetric function space. Under some additional assumptions mentioned result takes the form $(CX)_a =
Kiwerski, Tomasz, Tomaszewski, Jakub
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The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces
Journal of Function Spaces, 2014 Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors establish the boundedness of Marcinkiewicz integrals associated with Schrödinger operators and their commutators on Morrey spaces.
Dongxiang Chen, Fangting Jin
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, 2015 We extend to n-dimensions a characterization of the Marcinkiewicz $L(p,\infty)$ spaces first obtained by Garsia-Rodemich in the one dimensional case. This leads to a new proof of the John-Nirenberg self-improving inequalities.
Milman, Mario
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Open Mathematics, 2015 In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
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Demonstratio Mathematica, 2020 In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
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Metric entropy, n-widths, and sampling of functions on manifolds
, 2017 We first investigate on the asymptotics of the Kolmogorov metric entropy and nonlinear n-widths of approximation spaces on some function classes on manifolds and quasi-metric measure spaces. Secondly, we develop constructive algorithms to represent those
Ehler, Martin, Filbir, Frank
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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Journal of Function Spaces, 2018 A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in WFβ(Sn-1), which relates to the Grafakos ...
Feng Liu
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On Marcinkiewicz SLLN in Banach Spaces
The Annals of Probability, 1984 Let B be a separable Banach space. A sequence \(\{X_ n\}\) of zero mean independent random elements taking values in B is said to satisfy the condition \(T_ p\) if there exists a random variable \(X_ 0\) in \(L_ p\) such that \(P(\| X_ n\|>t)\leq CP(| X_ 0|>t)\), \(t\geq 0\), \(n\geq 1\).
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Marcinkiewicz functions with Hardy space kernels [PDF]
Mathematical Inequalities & Applications, 2018 Summary: In this paper we prove \(L_p\) estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions.
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