Results 1 to 10 of about 5,835,731 (257)

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

Open Mathematics, 2023
In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
doaj   +3 more sources

The Sharp Maximal Function on Spaces of Generalized Homogeneous Type [PDF]

Journal of Functional Analysis, 1997
The paper deals with harmonic analysis on spaces of generalized type. The spaces considered were defined by \textit{A. Carbery}, \textit{J. Vance}, \textit{S. Wainger} and \textit{J. Wright} [ibid. 132, 119-140 (1995)] stimulated by the studies of the Hilbert transform and maximal functions associated to the curves on certain nilpotent Lie groups.
Lai, Qinsheng
exaly   +3 more sources

Sharp Maximal Function Estimate and Weighted Inequalities for Maximal Multilinear Singular Integrals

Analysis in Theory and Applications, 2011
Summary: The sharp maximal function estimate and some weighted norm inequalities are obtained for maximal multilinear Calderón-Zygmund singular integral operators.
Wenming Li
exaly   +3 more sources

Sharp $L^p$-bounds for the martingale maximal function

Tohoku Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adam Osȩkowski
exaly   +4 more sources

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Demonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +3 more sources

Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions

Journal of Mathematics, 2021
It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
doaj   +1 more source

Commutators for the maximal and sharp functions [PDF]

Proceedings of the American Mathematical Society, 2000
The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on L q
Bastero, Jesús, Milman, Mario, Ruiz, Francisco J.   +2 more
openaire   +2 more sources

A pointwise estimate for pseudo-differential operators

Bulletin of Mathematical Sciences, 2023
Let [Formula: see text] be a pseudo-differential operator defined by the symbol [Formula: see text] with [Formula: see text] [Formula: see text]. It is shown that if [Formula: see text], then the operator satisfies the following pointwise estimate: (Tau)♯
Guangqing Wang, Wenyi Chen
doaj   +1 more source

Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
The problem of estimating the moduli of smoothness of functions from $L_q$  in terms of moduli of smoothness from $L_p$  is well known. The initial stage in estimating the moduli of smoothness was the study of properties of functions from ...
Simonov, Boris V., Simonova, Irina E., Ivanyuk, Vera A.   +2 more
doaj   +1 more source

Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

Open Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
doaj   +1 more source