Results 11 to 20 of about 551 (60)
A lower bound in Nehari's theorem on the polydisc [PDF]
, 2011 By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) with analytic symbol \psi, then there is a function \phi in L ...
H. Helson +7 more
core +3 more sources
Linear functions and duality on the infinite polytorus [PDF]
, 2019 We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
core +2 more sources
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
doaj +1 more source
On predictors for band-limited and high-frequency time series [PDF]
, 2012 Pathwise predictability and predictors for discrete time processes are studied in deterministic setting. It is suggested to approximate convolution sums over future times by convolution sums over past time. It is shown that all band-limited processes are
Dokuchaev +10 more
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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
wiley +1 more source
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 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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source