Complex interpolation of Besov-type spaces on domains

DOI10.4171/ZAA/1687zbMath1480.46034OpenAlexW3175124724MaRDI QIDQ2041347

Ci Qiang Zhuo

Publication date: 19 July 2021

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1687

zbMATH Keywords

extension operatorLipschitz domainscomplex interpolationBesov-type spacediamond space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

Related Items (4)

Some intrinsic characterizations of Besov-Triebel-Lizorkin-Morrey-type spaces on Lipschitz domains ⋮ Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator ⋮ Morrey smoothness spaces: a new approach ⋮ Extension of variable Triebel-Lizorkin-type space on domains

Cites Work

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• Interpolation of generalized Morrey spaces
• Erratum to: ``Multipliers and Morrey spaces
• Calderón's first and second complex interpolations of closed subspaces of Morrey spaces
• Complex interpolation of weighted Besov and Lizorkin-Triebel spaces
• Complex interpolation of vanishing Morrey spaces
• Interpolation of Morrey-Campanato and related smoothness spaces
• Function spaces and wavelets on domains
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Interpolation of linear operators in spaces of measurable functions
• Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case \(q<1\)
• Complex interpolation of smoothness Morrey subspaces
• New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• Multipliers and Morrey spaces
• Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains
• Complex interpolation of various subspaces of Morrey spaces
• Equivalent quasi-norms of Besov-Triebel-Lizorkin-type spaces via derivatives
• Complex interpolation of certain closed subspaces of generalized Morrey spaces
• Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
• A new framework for generalized Besov-type and Triebel–Lizorkin-type spaces
• COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES
• Interpolation of Morrey Spaces on Metric Measure Spaces
• Some properties of Morrey type Besov-Triebel spaces
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces
• Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls
• BESOV-TYPE SPACES AND DIFFERENCES
• Embedding properties of Besov-type spaces
• Intermediate spaces and interpolation, the complex method
• Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures

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