Results 41 to 50 of about 7,644 (191)
Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces
Journal of Function Spaces and Applications, 2010 In this article, we consider the Marcinkiewicz integrals with variable kernels defined by μΩ(f)(x)=(∫0∞|∫|x−y|≤tΩ(x,x−y)|x−y|n−1f(y)dy|2dtt3)1/2, where Ω(x,z)∈L∞(ℝn)×Lq(Sn−1) for q > 1.
Xiangxing Tao, Xiao Yu, Songyan Zhang
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Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains
Axioms, 2023 We prove Lp estimates of a class of generalized Marcinkiewicz integral operators with mixed homogeneity on product domains. By using these estimates along with an extrapolation argument, we obtain the boundedness of our operators under very weak ...
Mohammed Ali, Hussain Al-Qassem
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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, 2016 In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
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Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces
Journal of Inequalities and Applications, 2016 The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
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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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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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On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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