Results 51 to 60 of about 138,679 (278)

A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities

open access: yes, 2019
In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function $F$. Starting from this type of inequalities we
di Blasio, Giuseppina   +2 more
core   +1 more source

Antinormal Weighted Composition Operators

open access: yesAbstract and Applied Analysis, 2016
Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj   +1 more source

BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

open access: yesJournal of Function Spaces, 2021
Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
doaj   +1 more source

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

open access: yes, 2017
For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun   +3 more
core   +1 more source

Boundedness, compactness and Schatten-class membership of weighted composition operators

open access: yes, 2009
The boundedness and compactness of weighted composition operators on the Hardy space ${\mathcal H}^2$ of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function.
C.C. Cowen   +22 more
core   +2 more sources

3D‐Printed Dynamic Heart Model With Left‐Side Anatomy and Integrated Sensor for Edge‐to‐Edge Repair and Regurgitation Reduction

open access: yesAdvanced Materials Technologies, EarlyView.
This work presents a fully synthetic, 3D‐printed dynamic heart model with left‐side anatomy featuring sutured mitral valve chordae tendineae analogs, embedded actuators for physiologic wall contraction, and customized flexible pressure sensors for the left ventricle.
Alejandro Guillen Obando   +7 more
wiley   +1 more source

Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball [PDF]

open access: yes, 2014
In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space $H^2(\mathbb{B}_N)$ and weighted Bergman spaces $A_\alpha^2(\mathbb{B}_N)$, where $\mathbb{B}_N$ is the unit ball of the $N ...
Gao, Yong-Xin, Zhou, Ze-Hua
core  

In between the inequalities of Sobolev and Hardy

open access: yes, 2015
We establish both sufficient and necessary conditions for the validity of the so-called Hardy-Sobolev inequalities on open sets of the Euclidean space. These inequalities form a natural interpolating scale between the (weighted) Sobolev inequalities and ...
Lehrbäck, Juha, Vähäkangas, Antti V.
core   +1 more source

Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization [PDF]

open access: yesIMA Journal of Numerical Analysis, 2018
We propose a simple and effective method for designing approximation formulas for weighted analytic functions. We consider spaces of such functions according to weight functions expressing the decay properties of the functions.
Ken’ichiro Tanaka, M. Sugihara
semanticscholar   +1 more source

Carleson measures for weighted Hardy-sobolev spaces [PDF]

open access: yesNagoya Mathematical Journal, 2007
AbstractWe obtain characterizations of positive Borel measures µ on Bn so that some weighted Hardy-Sobolev are imbedded in Lp(dµ), where w is an Ap weight in the unit sphere of Cn.
Cascante, Carme, Ortega, Joaquin M.
openaire   +4 more sources

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