Results 31 to 40 of about 2,696,780 (108)
Linking Plant Secondary Metabolites and Plant Microbiomes: A Review
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
Plant secondary metabolites (SMs) play important roles in plant survival and in creating ecological connections between other species. In addition to providing a variety of valuable natural products, secondary metabolites help protect plants against ...
R. Jan+4 more
semanticscholar +1 more source
Homoclinics for singular strong force Lagrangian systems
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
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
Linear functions and duality on the infinite polytorus
We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
core +1 more source
Quantifier elimination in the theory of Lp(Lq) Banach lattices
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
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
An improvement of the Kolmogorov-Riesz compactness theorem
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 +1 more source
A note on a result of I. Gusić on two inequalities in lattice-ordered groups
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
Bounded composition operator on Lorentz spaces [PDF]
We study a composition operator on Lorentz spaces. In particular we provide necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator.
arxiv +1 more source