Results 11 to 20 of about 2,636,542 (84)

Modular functionals and perturbations of Nakano spaces [PDF]

open access: yes, 2008
We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin (11). We start by studying isometric Banach lattice embeddings of Nakano spaces, showing that in dimension two and above such embeddings
I. Yaacov
semanticscholar   +1 more source

Commutators of fractional integrals on martingale Morrey spaces

open access: yesMathematical Inequalities & Applications, 2019
On martingale Morrey spaces we give necessary and sufficient conditions for the boundedness and compactness of the commutator generated by the fractional integral and a function in the martingale Campanato space.
E. Nakai, Gaku Sadasue
semanticscholar   +1 more source

The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

open access: yesOpen 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

A criterion of weak compactness for operators on subspaces of Orlicz spaces

open access: yesJournal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008
We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre   +4 more
wiley   +1 more source

Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
doaj   +1 more source

On the trace space of a Sobolev space with a radial weight

open access: yesJournal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008
Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels   +3 more
wiley   +1 more source

Real-Variable Characterizations of Hardy–Lorentz Spaces on Spaces of Homogeneous Type with Applications to Real Interpolation and Boundedness of Calderón–Zygmund Operators

open access: yesAnalysis 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
doaj   +1 more source

New classes of rearrangement‐invariant spaces appearing in extreme cases of weak interpolation

open access: yesJournal of Function Spaces, Volume 4, Issue 3, Page 275-304, 2006., 2006
We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement‐invariant space with respect to the measure d t /t. When spaces L?,E are not “too close” to the endpoint spaces of interpolation (in the sense of Boyd), the optimal interpolation ...
Evgeniy Pustylnik   +2 more
wiley   +1 more source

(ω, c)- Pseudo almost periodic distributions

open access: yesNonautonomous Dynamical Systems, 2020
The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha   +1 more
doaj   +1 more source

Non‐equivalent greedy and almost greedy bases in lp

open access: yesJournal of Function Spaces, Volume 4, Issue 1, Page 25-42, 2006., 2006
For 1 < p < 8 and p ? 2 we construct a family of mutually non‐equivalent greedy bases in lp having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able to extend this statement to the spaces Lp and H1.
Stephen J. Dilworth   +3 more
wiley   +1 more source

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