Results 11 to 20 of about 513 (71)
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents
Open Mathematics, 2020 In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
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Analysis and Geometry in Metric Spaces, 2020 Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
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Journal of Function Spaces, Volume 8, Issue 2, Page 167-179, 2010., 2010 H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}. We introduce a Banach algebra Q that properly lies between H1 and L1, and use it to show that c(1 + ln n) ≤ ||vn||H1 ≤ Cn1/2 ...
R. L. Johnson +2 more
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Journal of Function Spaces, Volume 7, Issue 3, Page 241-250, 2009., 2009 In this paper, we study the boundedness of commutator [b, T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
Canqin Tang +2 more
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Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures
Journal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009 Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
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On the Lebedev transformation in Hardy′s spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 66, Page 3603-3616, 2004., 2004 We establish the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions for an arbitrary function from Hardy′s space H2,A, A > 0. This gives another version of the Fourier‐integral‐type theorem for the Lebedev transform. The result is generalized for a weighted Hardy space H⌢2,A≡H⌢2((−A,A);|Γ(1+Rez+iτ)|2dτ),
Semyon B. Yakubovich
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Lipschitz measures and vector‐valued Hardy spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 345-356, 2001., 2001 We define certain spaces of Banach‐valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector‐valued Hardy spaces HXp(ℝn), 0 < p < 1. We also prove that all these measures have Lipschitz densities.
Magali Folch-Gabayet +2 more
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Elliptic Riesz operators on the weighted special atom spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 15-18, 1996., 1995 In this paper we study the boundedness and convergence of and , the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s > 0, on the weighted special atom space B(ω).
Kuang Jichang
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Hausdorff operators on the weighted Herz-type Hardy spaces
, 2016 In this paper, we study the high-dimensional Hausdorff operators on the weighted Herz-type Hardy spaces and obtain some substantial extensions from the previous results in [3].
Jianmiao Ruan, D. Fan
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A description of weights satisfying the _{∞} condition of Muckenhoupt
, 1984 A nonnegative weight w on R" satisfies the Ax condition iff SUP IÖF' ■ f wdx) ■ exp| —— f log -dx > < oo. q=A JQ I (\Q\JQ w J Here & stands for a family of all cubes in R". Applications to BMO are considered.
S. Hruščev
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