Littlewood-Paley characterizations of Triebel-Lizorkin-Morrey spaces via ball averages
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Publication:730412
DOI10.1016/j.na.2016.11.004zbMath1396.46033OpenAlexW2558692922MaRDI QIDQ730412
Junwei Zhang, Ziyi He, Da Chun Yang, Ci Qiang Zhuo
Publication date: 27 December 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2016.11.004
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items
Triebel–Lizorkin–Morrey spaces and differences ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces
Cites Work
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- Anisotropic Hardy-Lorentz spaces and their applications
- Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits
- A new characterization of Sobolev spaces on \({\mathbb{R}^{n}}\)
- Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls
- Tempered homogeneous function spaces
- Morrey spaces in harmonic analysis
- A discrete transform and decompositions of distribution spaces
- New characterizations of Hajłasz-Sobolev spaces on metric spaces
- Characterizations of Sobolev spaces via averages on balls
- A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces
- New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Littlewood-Paley characterization for Campanato spaces
- Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
- Lectures on analysis on metric spaces
- New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
- Sobolev spaces on an arbitrary metric space
- Local function spaces, heat and Navier-Stokes equations
- Wavelets and the well-posedness of incompressible magneto-hydrodynamic equations in Besov type \(Q\)-space
- Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
- A new characterization of Triebel-Lizorkin spaces on \(\mathbb{R}^n\)
- On the coincidence of certain approaches to smoothness spaces related to Morrey spaces
- Some properties of Morrey type Besov-Triebel spaces
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Q spaces of several real variables
- Besov-Morrey spaces: Function space theory and applications to non-linear PDE
- Some Maximal Inequalities
- Nonlinear potential analysis on Morrey spaces and their capacities
- An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation
