Parabolic Maximal Operators Along Surfaces of Revolution with Rough Kernels
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DOI: 10.1007/s00009-019-1436-5
Abstract: In this work, we study the \(L^p\) estimates for a certain class of rough maximal functions with mixed homogeneity associated with the surfaces of revolution. Using these estimates with an extrapolation argument, we obtain some… read more here.
Keywords: revolution rough; along surfaces; surfaces revolution; maximal operators ... See more keywords
Sobolev Regularity of Maximal Operators on Infinite Connected Graphs
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DOI: 10.1007/s00009-021-01759-9
Abstract: Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under certain geometric conditions on G, the endpoint Sobolev regularity properties for… read more here.
Keywords: infinite connected; maximal operators; sobolev regularity; regularity ... See more keywords
Vector-valued estimates on limiting weak-type behaviors of singular integrals and maximal operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.11.006
Abstract: Abstract This paper is devoted to studying the vector-valued estimates for the limiting weak-type behaviors of singular and fractional integrals as well as maximal operators with homogeneous kernels. Under the assumptions of that the kernels… read more here.
Keywords: limiting weak; weak type; maximal operators; type behaviors ... See more keywords
DICHOTOMY PROPERTY FOR MAXIMAL OPERATORS IN A NONDOUBLING SETTING
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DOI: 10.1017/s000497271800120x
Abstract: We investigate a dichotomy property for Hardy–Littlewood maximal operators, noncentred $M$ and centred $M^{c}$ , that was noticed by Bennett et al. [‘Weak- $L^{\infty }$ and BMO’, Ann. of Math. (2) 113 (1981), 601–611]. We… read more here.
Keywords: dichotomy property; property; unicode stix; maximal operators ... See more keywords
Boundedness of both discrete Hardy and Hardy–Littlewood maximal operators via Muckenhoupt weights
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DOI: 10.1216/rmj.2021.51.733
Abstract: We employ the self-improving property (backward propagation) for the discrete Muckenhoupt class ????p, to prove that both discrete Hardy and discrete Hardy–Littlewood maximal operators are bounded on the usual weighted Lebesgue space lup(ℤ+) if and… read more here.
Keywords: hardy littlewood; hardy; littlewood maximal; maximal operators ... See more keywords
A Unified Version of Weighted Weak Type Inequality for Martingale Maximal Operators
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DOI: 10.1556/012.2021.58.2.1495
Abstract: Let ɣ and Φ1 be nondecreasing and nonnegative functions defined on [0, ∞), and Φ2 is an N -function, u, v and w are weights. A unified version of weighted weak type inequality of the… read more here.
Keywords: weak type; unified version; inequality; martingale maximal ... See more keywords
A Note on Parabolic Maximal Operators along Surfaces of Revolution via Extrapolation
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DOI: 10.3390/sym14061147
Abstract: Under weak conditions on the kernels, we obtain sharp Lp bounds for rough parabolic maximal integral operators over surfaces of revolution. By virtue of these bounds along with Yano’s extrapolation argument, we confirm the Lp… read more here.
Keywords: parabolic maximal; extrapolation; surfaces revolution; note parabolic ... See more keywords