Results 11 to 20 of about 77,451 (49)

Real-Variable Characterizations of Hardy–Lorentz Spaces on Spaces of Homogeneous Type with Applications to Real Interpolation and Boundedness of Calderón–Zygmund Operators

open access: yesAnalysis and Geometry in Metric Spaces, 2020
Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
doaj   +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

(ω, c)- Pseudo almost periodic distributions

open access: yesNonautonomous Dynamical Systems, 2020
The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha   +1 more
doaj   +1 more source

Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]

open access: yes, 2004
A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized $L^p$ spaces with variable exponent.Comment: 13 ...
Karlovich, Alexei Yu., Lerner, Andrei K.
core   +3 more sources

Sharp norm estimates for the classical heat equation [PDF]

open access: yesarXiv, 2023
Sharp estimates of solutions of the classical heat equation are proved in $L^p$ norms on the real line.
arxiv  

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

Linear functions and duality on the infinite polytorus

open access: yes, 2019
We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
core   +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

An improvement of the Kolmogorov-Riesz compactness theorem

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   +1 more source

Bounded composition operator on Lorentz spaces [PDF]

open access: yes, 2017
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

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