Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type
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DOI: 10.1002/mana.201900320
Abstract: Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher… read more here.
Keywords: maximal functions; hardy spaces; homogeneous type; local hardy ... See more keywords
Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
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DOI: 10.1007/s11117-021-00810-z
Abstract: In this paper, we study Sobolev type inequalities for fractional maximal functions in the half space. We also discuss Sobolev type inequalities for Green potentials in the half space. read more here.
Keywords: inequalities fractional; type inequalities; green potentials; fractional maximal ... See more keywords
Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
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DOI: 10.1007/s11425-017-9416-5
Abstract: In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in $$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$ ℱ β ( S n − 1 ) , a topic that relates to the… read more here.
Keywords: maximal functions; triebel lizorkin; boundedness continuity; singular integrals ... See more keywords
On the boundedness of a certain class of maximal functions on product spaces and extrapolation
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DOI: 10.1007/s13324-018-0208-x
Abstract: In this paper, we establish $$L^{p}$$Lp estimates for certain class of maximal functions on product domains with rough kernels in $${L^{q}}(\mathbf S ^{n-1}\times \mathbf S ^{m-1})\,(n,m\ge 2).$$Lq(Sn-1×Sm-1)(n,m≥2). These estimates are used in an extrapolation argument… read more here.
Keywords: class maximal; maximal functions; functions product; certain class ... See more keywords
A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting
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DOI: 10.1016/j.jmaa.2020.124248
Abstract: Abstract In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this… read more here.
Keywords: maximal functions; lemma weighted; carleson; generalization carleson ... See more keywords
A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces
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DOI: 10.1214/21-ejp680
Abstract: Let f be a martingale with values in a uniformly p-smooth Banach space and w any positive weight. We show that E(f∗ ·w) . E(Spf ·w∗), where ·∗ is the martingale maximal operator and Sp… read more here.
Keywords: maximal functions; functions martingales; inequality maximal; stein inequality ... See more keywords
The Besicovitch covering lemma and maximal functions
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DOI: 10.1216/rmj-2019-49-2-539
Abstract: This paper has two purposes. First, we explain and describe the Besicovitch covering lemma, and we provide a new proof. Applications are given, particularly to the ideas of Nagel and Stein about Fatou theorems through… read more here.
Keywords: besicovitch covering; maximal functions; covering lemma; lemma maximal ... See more keywords
On the regularity of one-sided fractional maximal functions
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DOI: 10.1515/ms-2017-0171
Abstract: Abstract In this paper we investigate the regularity properties of one-sided fractional maximal functions, both in continuous case and in discrete case. We prove that the one-sided fractional maximal operators ℳβ+$ \mathcal{M}_{\beta}^{+} $ and ℳβ-$… read more here.
Keywords: maximal functions; one sided; mathbb mathbb; sided fractional ... See more keywords
Commutators of some maximal functions with Lipschitz functions on mixed Morrey spaces
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DOI: 10.2298/fil2431031y
Abstract: Let 0 ? ? < n, M? bethe fractional maximal function, M? be the sharp maximal function and b be the locally integrable function. Denote by [b, M?] and [b, M?] be the commutators of… read more here.
Keywords: maximal function; commutators maximal; mixed morrey; morrey spaces ... See more keywords
$L^p$ boundedness for maximal functions associated with multi-linear pseudo-differential operators
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DOI: 10.3934/cpaa.2017042
Abstract: In this paper, we establish the $L^p$ estimates for the maximal functions associated with the multilinear pseudo-differential operators. Our main result is Theorem 1.2. There are several major different ingredients and extra difficulties in our… read more here.
Keywords: maximal functions; functions associated; pseudo differential; differential operators ... See more keywords