Results 31 to 40 of about 91 (79)

Lipschitz measures and vector‐valued Hardy spaces

open access: yesInternational 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

Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms

open access: yesAlexandria Engineering Journal, 2023
Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the ...
Waseem Z. Lone   +5 more
doaj   +1 more source

New characterizations of some Lp‐spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 487-492, 2000., 2000
For a complete measure space (X, ∑, μ), we give conditions which force Lp(X, μ), for 1 ≤ p < ∞, to be isometrically isomorphic to ℓp(Γ) for some index set Γ which depends only on (X, μ). Also, we give some new characterizations which yield the inclusion Lp(X, μ) ⊂ Lq(X, μ) for 0 < p < q.
Russell S. Jenkins, Ramesh V. Garimella
wiley   +1 more source

Weighted Variable Exponent Sobolev spaces on metric measure spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj   +1 more source

An Efficient Algorithm for Reconstruction Images Corrupted by Some Multiplicative Noises

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this paper, we propose a novel hybrid model for restoration of images corrupted by multiplicative noise. Using a MAP estimator, we can derive a functional whose minimizer corresponds to the denoised image we want to recover.
Ziad L., Oubbih O., Sniba F.
doaj   +1 more source

Standing waves for Choquard equation with noncritical rotation

open access: yesAdvances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

open access: yesDemonstratio Mathematica, 2019
We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

open access: yesAnalysis and Geometry in Metric Spaces, 2013
In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz ...
Hajłasz Piotr, Mirra Jacob
doaj   +1 more source

Pointwise Multipliers on Weak Morrey Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
doaj   +1 more source

On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

open access: yesConcrete Operators, 2023
In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander   +2 more
doaj   +1 more source

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