Sharp Lp bounds for the helical maximal function [PDF]
American Journal of Mathematicsabstract: We establish the $L^p(\R^3)$ boundedness of the helical maximal function for the sharp range $p>3$. Our results improve the previous known bounds for $p>4$. The key ingredient is a new microlocal smoothing estimate for averages along dilates of the helix, which is established via a square function analysis.
Beltran, David +3 more
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Sharp integral estimates for the fractional maximal function and interpolation
Arkiv för Matematik, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kruglyak, Natan, Kuznetsov, Evgeny A.
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Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces [PDF]
Annales Fennici Mathematici, 2022 We study sharp growth conditions for the boundedness of the Hardy-Littlewood maximal function in the generalized Orlicz spaces. We assume that the generalized Orlicz function \(\phi(x,t)\) satisfies the standard continuity properties (A0), (A1) and (A2).
Karppinen Arttu-Ville +1 more
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Local Good-λ Estimate for the Sharp Maximal Function and Weighted Morrey Space [PDF]
Journal of Function Spaces, 2015 We give a characterization of weighted Morrey space by using Fefferman and Stein’s sharp maximal function. For this purpose, we consider a local good-λ inequality.
Yasuo Komori-Furuya
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Sharp weighted inequalities for the vector-valued maximal function [PDF]
Transactions of the American Mathematical Society, 1999 We prove in this paper some sharp weighted inequalities for the vector–valued maximal function M ¯
Pérez Moreno, Carlos
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$\beta$-dimensional sharp maximal function and applications [PDF]
In this paper, we study $\beta$-dimensional sharp maximal operator defined as \begin{align*} \mathcal{M}^{\#} _\beta f(x) := \sup_{Q} \inf_{c \in \mathbb{R}} \chi_{Q}(x) \frac{1}{\ell(Q)^\beta} \int_Q |f-c| \; d \mathcal{H}^{\beta}_\infty, \end{align*} where the supremum is taken over all cubes in $\mathbb{R}^d$ with sides pararell to the coordinate ...
Chen, You-Wei Benson, Claros, Alejandro
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Sharp maximal function estimates for linear and multilinear pseudo-differential operators [PDF]
Journal of Functional AnalysisIn this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by ...
Bae Jun Park, Naohito Tomita
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Maximal functions and subordination for operator groups. [PDF]
, 2002 Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
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Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents [PDF]
Mathematical Inequalities & Applications, 2020 In the paper under review the authors obtain that the dual space of the local block space with variable exponent is the local Morrey space with variable exponent. They also obtain the boundedness of the Hardy-Littlewood maximal operators on the local block spaces with variable exponents.
Yee, Tat-Leung +3 more
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On the boundedness of parabolic maximal operators on product domains
Heliyon, 2021 In this article, appropriate sharp Lp bounds for a certain class of rough maximal operators MΩ,γ with mixed homogeneity are established. Specifically, when the function Ω belongs to Lq(Sm−1×Sn−1) with m,n≥2 and q>1, the boundedness of the such operators ...
Mohammed Ali
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