On trace spaces of function spaces with a radial weight: the atomic approach

DOI10.1080/17476930903276050zbMath1210.46024OpenAlexW2106215269WikidataQ57339756 ScholiaQ57339756MaRDI QIDQ4931838

Haroske, Dorothee D., Hans-Juergen Schmeisser

Publication date: 1 October 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903276050

zbMATH Keywords

atomic decompositionsMuckenhoupt weightsweighted Besov spacesweighted Triebel-Lizorkin spacestrace spaces

Mathematics Subject Classification ID

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

Related Items (11)

Dichotomy in Muckenhoupt Weighted Function Space: A Fractal Example ⋮ Traces of Muckenhoupt weighted function spaces in case of distant singularities ⋮ Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces ⋮ The problem of traces for Sobolev spaces with Muckenhoupt-type weights ⋮ Description of traces of functions in the Sobolev space with a Muckenhoupt weight ⋮ Traces and extensions of weighted Sobolev and potential spaces ⋮ Well posedness and regularity for heat equation with the initial condition in weighted Orlicz-Slobodetskii space subordinated to Orlicz space like \(\lambda (\log\lambda )^\alpha\) and the logarithmic weight ⋮ Dyadic norm Besov-type spaces as trace spaces on regular trees ⋮ On proper formulation of boundary condition for degenerated PDEs when trace embedding theorems are missing and application to nonhomogeneous BVPs ⋮ Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces ⋮ On trace spaces of 2-microlocal Besov spaces with variable integrability

Cites Work

• Unnamed Item
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• A discrete transform and decompositions of distribution spaces
• Theory of function spaces
• Theory of function spaces II
• Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case \(q<1\)
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• Traces on fractals of function spaces with Muckenhoupt weights
• Atomic and molecular decompositions of anisotropic Besov spaces
• Fractals and Spectra
• Matrix-weighted Besov spaces
• Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
• Some observations on Besov and Lizorkin-Triebel spaces.
• Duality of matrix-weighted Besov spaces
• Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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