Results 31 to 40 of about 513 (71)
Anisotropic Hardy spaces and wavelets
, 2003 In this paper, motivated in part by the role of discrete groups of dilations in wavelet theory, we introduce and investigate the anisotropic Hardy spaces associated with very general discrete groups of dilations.
Marcin Bownik
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Hausdorff operators on Bergman spaces of the upper half plane [PDF]
arXiv, 2019 In this paper we study Hausdorff operators on the Bergman spaces $A^{p}(\mathbb{U})$ of the upper half plane.
arxiv
Weighted CBMO estimates for the commutators of matrix Hausdorff operator on Heisenberg group [PDF]
arXiv, 2020 In this article, we study the commutators of Hausdor? operator and establish their boundedness on weighted Herz space in the setting of Heisenberg group.
arxiv
Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in ^{}
, 1999 We study two different local Hp spaces, 0 < p ≤ 1, on a smooth domain in Rn, by means of maximal functions and atomic decomposition. We prove the regularity in these spaces, as well as in the corresponding dual BMO spaces, of the Dirichlet and Neumann ...
D. Chang, G. Dafni, E. Stein
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Analytic Variable Exponent Hardy Spaces [PDF]
arXiv, 2018 We introduce a variable exponent version of the Hardy space of analytic functions on the unit disk, we show some properties of the space, and give an example of a variable exponent $p(\cdot)$ that satisfies the $\log$-H\"older condition such that $H^{p(\cdot)}\neq H^q$ for any constant exponent $1
arxiv
Variational characterizations of weighted Hardy spaces and weighted $BMO$ spaces [PDF]
arXiv, 2020 This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
arxiv
On the restricted summability of the multi-dimensional Vilenkin-Cesàro means
, 2017 The properties of the maximal operator of the (C,α) -means (α = (α1, . . . ,αd) ) of the multi-dimensional Vilenkin-Fourier series are discussed, where the set of indices is inside a cone-like set.
I. Blahota, K. Nagy
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Modular Lattice for $C_{o}$-Operators [PDF]
arXiv, 2006 We study modularity of the lattice Lat $(T)$ of closed invariant subspaces for a $C_0$-operator $T$ and find a condition such that Lat $(T)$ is a modular. Furthermore, we provide a quasiaffinity preserving modularity.
arxiv
Pointwise characterizations of Hardy-Sobolev functions [PDF]
arXiv, 2006 We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)
A Shift Operator on L(H^2) [PDF]
arXiv, 2006 We give definitions and some properties of the shift operator S_{L(H^2)} and multiplication operator on L(H^2). In addition, we obtain some properties of the commutant of the shift operator S_{L(H^2)} and characterize S_{L(H^2)}-invariant subspaces.
arxiv