Results 31 to 40 of about 2,636,542 (84)

Linking Plant Secondary Metabolites and Plant Microbiomes: A Review

open access: yesFrontiers in Plant Science, 2021
Plant secondary metabolites (PSMs) play many roles including defense against pathogens, pests, and herbivores; response to environmental stresses, and mediating organismal interactions.
Zhiqian Pang   +7 more
semanticscholar   +1 more source

Homoclinics for singular strong force Lagrangian systems

open access: yesAdvances in Nonlinear Analysis, 2019
We study the existence of homoclinic solutions for a class of Lagrangian systems ddt$\begin{array}{} \frac{d}{dt} \end{array} $(∇Φ(u̇(t))) + ∇uV(t, u(t)) = 0, where t ∈ ℝ, Φ : ℝ2 → [0, ∞) is a G-function in the sense of Trudinger, V : ℝ × (ℝ2 ∖ {ξ}) → ℝ ...
Izydorek Marek   +2 more
doaj   +1 more source

Fractional integrals on B_σ-weighted Morrey spaces

open access: yes, 2016
By using Bσ -weighted function spaces, we will investigate the weighted estimates of fractional integrals on Bσ -weighted Morrey spaces, which unify the weighted estimates of them on several function spaces.
Y. Komori‐Furuya, Katsuo Matsuoka
semanticscholar   +1 more source

Quantifier elimination in the theory of Lp(Lq) Banach lattices

open access: yesJournal of Logic and Analysis, 2011
We introduce the class of doubly atomless bands in Lp(Lq)-Banach lattices and show that this class is axiomatizable by positive bounded sentences in the language of Banach lattices. (Here p 6= q are fixed and in the interval 1 ≤ p, q < ∞ .) The theory of
C. Henson, Y. Raynaud
semanticscholar   +1 more source

A note on boundedness of operators in Grand Grand Morrey spaces

open access: yes, 2011
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida   +15 more
core   +1 more source

A note on a result of I. Gusić on two inequalities in lattice-ordered groups

open access: yes, 2015
We complement some of results of Ivica Gusić from 1998 concerning MaligrandaOrlicz inequality in lattice-ordered groups. Mathematics subject classification (2010): Primary 39B62; Secondary 06F15, 20F60, 26D15, 46E30.
W. Fechner
semanticscholar   +1 more source

Sobolev spaces, Lebesgue points and maximal functions

open access: yes, 2013
In this note we study boundedness of a large class of maximal operators in Sobolev spaces that includes the spherical maximal operator. We also study the size of the set of Lebesgue points with respect to convergence associated with such maximal ...
Hajlasz, Piotr, Liu, Zhuomin
core   +1 more source

Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces

open access: yes, 2014
Fix the indices and , 1 < < 1g; = ; . In this paper we obtain, as a special case, simple criteria to guarantee that a linear operator T satises T : L%(X) ! L%(X), whenever T : M(;X ) ! M(;X ) and T : M(;X ) ! M(;X ). 2010 Mathematics Subject Classication:
R. Kerman, Colin Phipps, L. Pick
semanticscholar   +1 more source

More on the Density of Analytic Polynomials in Abstract Hardy Spaces

open access: yes, 2017
Let $\{F_n\}$ be the sequence of the Fej\'er kernels on the unit circle $\mathbb{T}$. The first author recently proved that if $X$ is a separable Banach function space on $\mathbb{T}$ such that the Hardy-Littlewood maximal operator $M$ is bounded on its ...
Karlovich, Alexei, Shargorodsky, Eugene
core   +1 more source

Weak amenability of weighted Orlicz algebras

open access: yes, 2017
Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions.
Samei, Ebrahim   +2 more
core   +1 more source

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