Results 21 to 30 of about 2,741,424 (87)

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

An improvement of the Kolmogorov-Riesz compactness theorem [PDF]

open access: yes, 2018
The purpose of this short note is to provide a new and very short proof of a result by Sudakov, offering an important improvement of the classical result by Kolmogorov-Riesz on compact subsets of Lebesgue ...
Hanche-Olsen, Harald   +2 more
core   +2 more sources

Plant Secondary Metabolites as Defense Tools against Herbivores for Sustainable Crop Protection

open access: yesInternational Journal of Molecular Sciences, 2022
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

Norm attaining bilinear forms on L1(μ)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 833-837, 2000., 2000
Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.
Yousef Saleh
wiley   +1 more source

Conditions implying regularity of the three dimensional Navier-Stokes equation [PDF]

open access: yes, 2004
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac like inequalities. As part of
Jiang, Lingyu, Wang, Yidong
core   +5 more sources

Weighted composition operator on two-dimensional Lorentz spaces

open access: yes, 2017
The boundedness, compactness, closed range and invertibility of the weighted composition operator on two-dimensional Lorentz spaces are characterized. Mathematics subject classification (2010): Primary 47B33, 47B38, Secondary 46E30.
R. E. Castillo, H. Chaparro
semanticscholar   +1 more source

Dual complements for domains of ℂ^n

open access: yesMathematical Inequalities & Applications, 2019
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]

open access: yes, 2009
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

Measurable multifunctions and their applications to convex integral functionals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 175-191, 1989., 1988
The purpose of this paper is to establish some new properties of set valued measurable functions and of their sets of Integrable selectors and to use them to study convex integral functionals defined on Lebesgue‐Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some ...
Nikolaos S. Papageorgiou
wiley   +1 more source

Applications of one inequality to measures of non-compactness and narrow operators

open access: yesMathematical Inequalities & Applications, 2019
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

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