Results 51 to 60 of about 21,477 (164)

Operator valued Hardy spaces [PDF]

Memoirs of the American Mathematical Society, 2007
We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on ...
openaire   +2 more sources

Partial regularity for flows of H-surfaces, II

Electronic Journal of Differential Equations, 1999
We study the regularity of weak solutions to the heat equation for H-surfaces. Under the assumption that the function $H:{Bbb R}^3 o {Bbb R}$ is bounded and Lipschitz, we show that the solution is $C^{2,alpha}$ on its domain, except for a set of measure ...
Changyou Wang
doaj  

Introducing the Polylogarithmic Hardy Space [PDF]

Integral Equations and Operator Theory, 2015
15 ...
openaire   +2 more sources

Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

Journal of Inequalities and Applications, 2007
Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN, and ϕ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (Cψ,ϕ)f=ψ ...
Cheng Yuan, Ze-Hua Zhou
doaj   +1 more source

Toeplitz Operators on Abstract Hardy Spaces Built upon Banach Function Spaces

Journal of Function Spaces, 2017
Let X be a Banach function space over the unit circle T and let H[X] be the abstract Hardy space built upon X. If the Riesz projection P is bounded on X and a∈L∞, then the Toeplitz operator Taf=P(af) is bounded on H[X].
Alexei Yu. Karlovich
doaj   +1 more source

Boundedness for Parametrized Littlewood-Paley Operators with Rough Kernels on Weighted Weak Hardy Spaces

Abstract and Applied Analysis, 2013
The authors prove that the parametrized area integral and function are bounded from the weighted weak Hardy space to the weighted weak Lebesgue space as satisfies a class of the integral Dini condition, respectively.
Ximei Wei, Shuangping Tao
doaj   +1 more source

Almost Everywhere Convergence of Varying Parameter Setting Cesàro Means of Fourier Series With Respect to Walsh–Kaczmarz System

Annales Mathematicae Silesianae
In this paper, the almost everywhere convergence of Cesàro means of Walsh–Kaczmarz–Fourier series in a varying parameter setting is investigated. In particular, we define subsequence ℕαn,q{{\mathbb{N}}_{{{\alpha }_{n}},q}} of natural numbers and prove ...
Adimasu Anteneh Tilahun
doaj   +1 more source

Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms

Electronic Journal of Differential Equations, 2016
In this article we study a connection between two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norm.
Rovshan A. Bandaliyev
doaj  

θ-Summation and Hardy Spaces

Journal of Approximation Theory, 2000
\textit{P. L. Butzer} and \textit{R. J. Nessel} [see ``Fourier analysis and approximation. Vol. 1: One-dimensional theory'' (1971; Zbl 0217.42603)] introduced the general method of summability, using a singular integral of the Fourier transform of a function \(\theta\), called \(\theta\)-summability.
openaire   +2 more sources

Hardy space of Clausen's and Goursat's hypergeometric functions [PDF]

Surveys in Mathematics and its Applications
Let ℛ denote the class of analytic functions defined in the open unit disc Δ=\z∈ ℂ: |z|
Jocelyn Johnson, S. Sunil Varma
doaj