Results 41 to 50 of about 4,984,277 (353)
Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence.
Yoshihiro Sawano +2 more
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
Journal of Function Spaces, 2020 This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
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Compact composition operators on the Dirichlet space and capacity of sets of contact points [PDF]
, 2012 In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space such that the associated composition operator is in all Schatten classes (of ...
Lefèvre, Pascal +3 more
core +3 more sources
Wavelet frame bijectivity on Lebesgue and Hardy spaces [PDF]
, 2012 We prove a sufficient condition for frame-type wavelet series in $L^p$, the Hardy space $H^1$, and BMO. For example, functions in these spaces are shown to have expansions in terms of the Mexican hat wavelet, thus giving a strong answer to an old ...
Bui, H. -Q., Laugesen, R. S.
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Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
Mathematics, 2022 A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space.
Yanlin Li +3 more
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Extremal Non-Compactness of Composition Operators with Linear Fractional Symbol [PDF]
, 2005 We realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necessary and sufficient conditions on the symbol to exhibit extremal non ...
Basor, Estelle L., Retsek, Dylan Q.
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The Hardy Space $$H^1$$H1 in the Rational Dunkl Setting [PDF]
, 2013 This paper is perhaps the first attempt at a study of the Hardy space $$H^1$$H1 in the rational Dunkl setting. Following Uchiyama’s approach, we characterize $$H^1$$H1 atomically and by means of the heat maximal operator.
Jean-Philippe Anker +3 more
semanticscholar +1 more source
Closure of Hardy spaces in the Bloch space
Journal of Mathematical Analysis and Applications, 2015 A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\Cn$ for ...
Galanopoulos, Petros +2 more
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Herz-Type Hardy Spaces Associated with Operators
Journal of Function Spaces, 2018 Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
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Conditions for boundedness into Hardy spaces [PDF]
Mathematische Nachrichten, 2019 AbstractWe obtain the boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes the Coifman–Meyer class, sums of products of linear Calderón–Zygmund operators and combinations of these two types.
Grafakos L. +3 more
openaire +4 more sources