Atomic representations in function spaces and applications to pointwise multipliers and diffeomorphisms, a new approach

DOI10.1002/mana.201100336zbMath1267.46052arXiv1111.6812OpenAlexW2128199288MaRDI QIDQ4911534

Benjamin Scharf

Publication date: 15 March 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6812

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesatomic decompositionsBesov spacesdiffeomorphismspointwise multipliers

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains ⋮ Wavelet decomposition techniques and Hardy inequalities for function spaces on cubes ⋮ Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers ⋮ Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces ⋮ Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps ⋮ On the traction problem of classical elastostatics ⋮ Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces ⋮ A higher order Faber spline basis for sampling discretization of functions ⋮ Elliptic and parabolic boundary value problems in weighted function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• Theory of function spaces
• Theory of function spaces II
• Theorems on the traces and multipliers of functions from Lizorkin-Triebel spaces
• Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions.
• On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\)
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• Intrinsic atomic characterizations of function spaces on domains
• Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces
• A change of variable that preserves the differential properties of functions
• Smooth functions
• Fractals and Spectra
• Changes of Variable in Besov Spaces
• Atomic decompositions on manifolds with bounded geometry
• On the Spaces of T<scp>riebel‐</scp>L<scp>izorkin</scp> Type: Pointwise Multipliers and Spaces on Domains
• Superposition operators in Sobolev spaces
• Wavelet methods for PDEs -- some recent developments

This page was built for publication: Atomic representations in function spaces and applications to pointwise multipliers and diffeomorphisms, a new approach