Results 1 to 10 of about 5,281,258 (136)

Classification of anisotropic Triebel-Lizorkin spaces. [PDF]

Math Ann, 2022
This paper provides a characterization of expansive matrices A∈GL(d,R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
Koppensteiner S, van Velthoven JT, Voigtlaender F.   +2 more
europepmc   +3 more sources

Persistence of the solution to the Euler equations in an end‐point critical Triebel–Lizorkin space

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2421-2433, 30 January 2025.
Local stay of the solutions to the Euler equations for an ideal incompressible fluid in the end‐point Triebel–Lizorkin space F1,∞sℝd$$ {F}_{1,\infty}^s\left({\mathbb{R}}^d\right) $$ with s≥d+1$$ s\ge d+1 $$ is ...
JunSeok Hwang, H. Pak
semanticscholar   +2 more sources

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Jingshi Xu, Jinlai Zhu
doaj   +2 more sources

Grand Triebel–Lizorkin–Bourgain–Morrey spaces: Nontriviality, embeddings, and boundedness of certain operators

Bulletin of Mathematical Sciences
Let [Formula: see text], [Formula: see text], and [Formula: see text] denote the Triebel–Lizorkin–Bourgain–Morrey space, whose special case was originally introduced by Bourgain.
Yangningrui Wan, Dachun Yang, Yirui Zhao
doaj   +2 more sources

WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS

Forum of Mathematics, Sigma, 2020
Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI, THE ANH BUI, XUAN THINH DUONG   +2 more
doaj   +2 more sources

EQUIVALENT CHARACTERIZATION ON TRIEBEL-LIZORKIN SPACE

Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE, 2021
In this paper, we give an equivalent characterization of TriebelLizorkin spaces. This reveals the equivalent relation between the mixed derivative norm and single variable norm.
Cong He, Jing-Chun Chen, Houzhang Fang, Huan He   +3 more
semanticscholar   +1 more source

Matrix‐weighted Besov‐type and Triebel–Lizorkin‐type spaces II: Sharp boundedness of almost diagonal operators [PDF]

Journal of the London Mathematical Society, 2023
This article is the second one of three successive articles of the authors on the matrix‐weighted Besov‐type and Triebel–Lizorkin‐type spaces. In this article, we obtain the sharp boundedness of almost diagonal operators on matrix‐weighted Besov‐type and
Fan Bu, T. Hytönen, Da-Chun Yang, Wen Yuan   +3 more
semanticscholar   +1 more source

Local regularity for nonlocal equations with variable exponents

Mathematische Nachrichten, Volume 296, Issue 9, Page 4463-4489, September 2023., 2023
Abstract In this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations. We show that weak solutions are locally bounded when the variable exponent p is only assumed to be continuous and bounded.
Jamil Chaker, Minhyun Kim
wiley   +1 more source

On the trace embedding and its applications to evolution equations

Mathematische Nachrichten, Volume 296, Issue 4, Page 1319-1350, April 2023., 2023
Abstract In this paper, we consider traces at initial times for functions with mixed time‐space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples.
Antonio Agresti, Nick Lindemulder, Mark Veraar   +2 more
wiley   +1 more source

Fractional‐order operators on nonsmooth domains

Journal of the London Mathematical Society, Volume 107, Issue 4, Page 1297-1350, April 2023., 2023
Abstract The fractional Laplacian (−Δ)a$(-\Delta )^a$, a∈(0,1)$a\in (0,1)$, and its generalizations to variable‐coefficient 2a$2a$‐order pseudodifferential operators P$P$, are studied in Lq$L_q$‐Sobolev spaces of Bessel‐potential type Hqs$H^s_q$. For a bounded open set Ω⊂Rn$\Omega \subset \mathbb {R}^n$, consider the homogeneous Dirichlet problem: Pu=f$
Helmut Abels, Gerd Grubb
wiley   +1 more source