Results 31 to 40 of about 2,707 (136)
New classes of rearrangement‐invariant spaces appearing in extreme cases of weak interpolation
Journal 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
Remarks on weighted Orlicz spaces on locally compact groups
, 2020 In this paper, we give some equivalent condition for a weighted Orlicz space Lw (G) on a locally compact group G to be a convolution Banach algebra, and by Jensen’s inequality we study a hereditary property for weighted Orlicz algebras on quotient spaces.
S. M. Tabatabaie +2 more
semanticscholar +1 more source
Non‐equivalent greedy and almost greedy bases in lp
Journal 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
Commutators of fractional integrals on martingale Morrey spaces
Mathematical 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
Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means
, 2020 In this paper, we show that the Bochner-Riesz means are bounded on weighted and variable Hardy spaces by using the finite atomic decomposition theories.
J. Tan
semanticscholar +1 more source
Modulation spaces Mp,q for 0 < p, q?8
Journal of Function Spaces, Volume 4, Issue 3, Page 329-341, 2006., 2006 The purpose of this paper is to construct modulation spaces Mp,q(Rd) for general 0 < p, q?8, which coincide with the usual modulation spaces when 1?p,q?8, and study their basic properties including their completeness. Given any g?S(Rd) such that supp g ???{?||?|?1} and ?k?Zd g (?-ak)=1, our modulation space consists of all tempered distributions f such
Masaharu Kobayashi, Hans Triebel
wiley +1 more source
Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz‐Sobolev embeddings
Journal of Function Spaces, Volume 3, Issue 2, Page 183-208, 2005., 2005 Let Dkf mean the vector composed by all partial derivatives of order k of a function f(x), x ∈ Ω ⊂ ℝn. Given a Banach function space A, we look for a possibly small space B such that ‖f‖B≤c‖|Dkf|‖A for all f∈C0k(Ω). The estimates obtained are applied to ultrasymmetric spaces A = Lφ,E, B = Lψ,E, giving some optimal (or rather sharp) relations between ...
Evgeniy Pustylnik, Lech Maligranda
wiley +1 more source
Hypercyclicity of weighted translations on Orlicz spaces
, 2018 In this paper, we study the hypercyclicity of the weighted translation Cu,g defined on Orlicz space LΦ(G) where G is a locally compact group, g ∈ G and u is a weight function on G .
M. Azimi, I. Akbarbaglu
semanticscholar +1 more source
Extensions of the Hardy‐Littlewood inequalities for Schwarz symmetrization
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3129-3150, 2004., 2004 For a class of functions H:(0,∞)×ℝ+2→ℝ, including discontinuous functions of Carathéodory type, we establish that ∫ℝNH(|x|,u(x),v(x))dx≤∫ℝNH(|x|,u*(x),v*(x))dx, where u*(x) and v*(x) denote the Schwarz symmetrizations of nonnegative functions u and v.
H. Hajaiej, C. A. Stuart
wiley +1 more source
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents
Open 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