Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications
type: Item
instance of: scholarly article
title: Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications
zbMATH Open document ID: 1318.42031
author: Wen Yuan
author: Ciqiang Zhuo
author: Dachun Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6420135
zbMATH Keywords: Triebel-Lizorkin spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: Morrey spaces
zbMATH Keywords: Hausdorff capacity
zbMATH Keywords: Peetre maximal functions
zbMATH Keywords: Riesz potential operators
zbMATH Keywords: singular integral operators
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.10.084
OpenAlex ID: W2016658135
cites work: A note on Riesz potentials
cites work: Q3807528
cites work: Nonlinear potential analysis on Morrey spaces and their capacities
cites work: Morrey spaces in harmonic analysis
cites work: Weighted inequalities for vector-valued maximal functions and singular integrals
cites work: Locally bounded linear topological spaces
cites work: Weighted Besov and Triebel spaces: Interpolation by the real method
cites work: Q4890733
cites work: Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
cites work: Q spaces of several real variables
cites work: Q4000004
cites work: Classical Fourier Analysis
cites work: Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
cites work: Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
cites work: New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
cites work: Besov-Morrey spaces: Function space theory and applications to non-linear PDE
cites work: Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator
cites work: Q3243449
cites work: Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
cites work: New applications of Besov-type and Triebel-Lizorkin-type spaces
cites work: Smoothness spaces related to Morrey spaces: a survey. I
cites work: Q5607484
cites work: Q3142876
cites work: Q5640160
cites work: Some properties of Morrey type Besov-Triebel spaces
cites work: Q3336200
cites work: Q4003552
cites work: Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets
cites work: Holomorphic \(Q\) classes
cites work: Q5489391
cites work: A note on dyadic Hausdorff capacities
cites work: A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces
cites work: New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces
cites work: Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means
cites work: Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces
cites work: Fourier multipliers on Triebel-Lizorkin-type spaces
cites work: Complex interpolation on Besov-type and Triebel-Lizorkin-type spaces
cites work: Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications
cites work: Morrey and Campanato meet Besov, Lizorkin and Triebel
DOI: 10.1016/J.JMAA.2013.10.084
description: scientific article; zbMATH DE number 6420135