Results 21 to 30 of about 2,687,773 (109)
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents
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
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
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
doaj +1 more source
On the trace space of a Sobolev space with a radial weight
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
New classes of rearrangement‐invariant spaces appearing in extreme cases of weak interpolation
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
Dual complements for domains of ℂ^n
Let Ω ⊂ Cn be a bounded, strictly convex domain and ̃ Ω be its dual complement. Very few such domains with fully described dual complements have been known.
L. Aĭzenberg, E. Liflyand, A. Nekvinda
semanticscholar +1 more source
Weak compactness and Orlicz spaces [PDF]
We give new proofs that some Banach spaces have Pe lczynski’s property (V ). Mathematics Subject Classification. Primary: 46B20; Secondary: 46E30 Key-words. M -ideal; Morse-Transue space; Orlicz space; Pe lczynski’s property (V ).
P. Lefèvre+3 more
semanticscholar +1 more source
Non‐equivalent greedy and almost greedy bases in lp
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
Applications of one inequality to measures of non-compactness and narrow operators
We consider a generalization of an inequality from papers by Yu. A. Dubinskii, J.L. Lions and E. Magenes. This inequality is of great importance for the proof of solvability of nonlinear elliptic and parabolic equations. In contrast to their works, we do
N. A. Erzakova
semanticscholar +1 more source
Plant Secondary Metabolites as Defense Tools against Herbivores for Sustainable Crop Protection
Plants have evolved several adaptive strategies through physiological changes in response to herbivore attacks. Plant secondary metabolites (PSMs) are synthesized to provide defensive functions and regulate defense signaling pathways to safeguard plants ...
Pratap A. Divekar+13 more
semanticscholar +1 more source