Results 241 to 250 of about 5,835,731 (257)

The Estimates for Sharp Maximal Functions of Multilinear Strongly Singular Integral Operators

Acta Mathematica Sinica, English Series, 2005
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Sharp Norm Comparison of Martingale Maximal Functions and Stochastic Integrals

2011
Much of this paper will be devoted to answering a question about stochastic integrals, Question 1 below. Question 2 is even more basic. The primary goal is to introduce a method that can be used to study these and other questions about martingale maximal functions.
Burgess Davis, Renming Song
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Sharp $B$-Maximal Function Estimates and Boundedness for Some Integral Operators to the Inequalities

Journal of New Theory
In this paper, we first establish the relation between $B$-maximal and sharp $B$-maximal functions generated by the generalized translation operator connected with the Laplace-Bessel differential operator. We then prove some sharp $B$-maximal function estimates and present an application using these sharp estimates to study singular integral operators.
Cansu Keskin, Havva Nur Turkak
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Local sharp maximal functions in spaces of homogeneous type

1987
The so-called sharp maximal function, introduced by F. John, J. O. Strömberg, has many advantages to measure the oscillation of a function (only assumed to be measurable rather than locally summable) as shown in (1) \textit{B. Jawerth}, \textit{A. Torchinsky} [J. Approximation Theory 43, 231-270 (1985; Zbl 0565.42009)].
Shi, Xianliang, Torchinsky, Alberto
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A pointwise estimate for the local sharp maximal function with applications to singular integrals

Bulletin of the London Mathematical Society, 2010
Following the ideas of Carleson, Garnett–Jones and Fujii, we obtain a decomposition of an arbitrary measurable function f in terms of local mean oscillations.
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Commutators for the fractional maximal and sharp functions on total Morrey spaces

Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science
In this paper, we consider the commutators associated with the fractional maximal function and sharp maximal function when symbol function b in Lipschitz spaces. We give some characterizations of the Lipschitz spaces via the boundedness of these commutators on total Morrey spaces.
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Sharp maximal function inequalities and boundedness for Toeplitz type operator associated to pseudo-differential operator

Journal of Pseudo-Differential Operators and Applications, 2012
Lanzhe Liu
exaly  

Sharp maximal function inequalities and boundedness for Toeplitz type operator related to general fractional integral operators

Banach Journal of Mathematical Analysis, 2013
Lanzhe Liu
exaly  

SHARP MAXIMAL INEQUALITIES AND COMMUTATORS ON MORREY SPACES WITH NON-DOUBLING MEASURES

Taiwanese Journal of Mathematics, 2007
Yoshihiro Sawano
exaly  

$M^k$-Type Sharp Maximal Function Inequalities and Boundedness for Toeplitz Type Operator Associated to Pseudo-differential Operator

Annals of Functional Analysis, 2015
Lanzhe Liu
exaly