Results 11 to 20 of about 2,707 (136)
A criterion of weak compactness for operators on subspaces of Orlicz spaces [PDF]
arXiv, 2008 To appear in J. Funct. Spaces and Appl.
Pascal Lefèvre +4 more
arxiv +2 more sources
Some notes on the inclusion between Morrey spaces
Journal of Mathematical Inequalities, 2022 In this paper, we show that the Morrey spaces M p q1(R n) cannot be contained in the weak Morrey spaces wM p q2 (R n) for q1 = q2 . We also show that the vanishing Morrey spaces V M p q(R n) are not empty and properly contained in the Morrey spaces M p q
Philotheus E. A. Tuerah, N. Tumalun
semanticscholar +1 more source
Convexity and boundedness relaxation for fixed point theorems in modular spaces
, 2021 Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, S. Shabanian
semanticscholar +1 more source
Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces
Operators and Matrices, 2021 In this paper, we establish some necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on weighted central Morrey and Herz type spaces.
D. Duong, N. T. Hong
semanticscholar +1 more source
Mathematical Inequalities & Applications, 2020 We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
semanticscholar +1 more source
Sobolev's theorem for double phase functionals
, 2020 Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 < p q < ∞ , τ > 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−
Y. Mizuta, T. Ohno, T. Shimomura
semanticscholar +1 more source
Isoperimetry and Symmetrization for Sobolev spaces on metric spaces [PDF]
, 2009 Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces.
Martin, Joaquim, Milman, Mario
core +4 more sources
A double-phase eigenvalue problem with large exponents
Open Mathematics, 2023 In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
doaj +1 more source
Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$
, 2004 We prove the boundedness of the Hardy–Littlewood maximal function on the generalized Lebesgue space Lp(·)(Rd) under a continuity assumption on p that is weaker than uniform Holder continuity. We deduce continuity of mollifying sequences and density of C∞(
L. Diening
semanticscholar +1 more source
, 2020 The purpose of this paper is to give a necessary and sufficient condition for an Orlicz space LΦ(G) to be a convolution Banach algebra, where G is a compactly generated locally compact abelian group and Φ is a Young function satisfying Δ2 -condition and ...
S. M. Tabatabaie +2 more
semanticscholar +1 more source