Traces of BMO-Sobolev Spaces

DOI10.2307/2044107zbMath0474.46024OpenAlexW4236240369MaRDI QIDQ3930219

Robert S. Strichartz

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044107

zbMATH Keywords

trace theoremhomogeneous Besov spacefunctions of bounded mean oscillationtrace operatorBMO-Sobolev space of Riesz potentials

Mathematics Subject Classification ID

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

Related Items (13)

Riesz potentials of Hardy-Hausdorff spaces and \(Q\)-type spaces ⋮ Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces ⋮ Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces ⋮ A trace law for the Hardy-Morrey-Sobolev space ⋮ Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces ⋮ John-Nirenberg inequalities and weight invariant BMO spaces ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Morrey's fractional integrals in Campanato-Sobolev's space and \(\operatorname{div}F=f\) ⋮ Hardy space estimates for limited ranges of Muckenhoupt weights ⋮ Regularities of semigroups, Carleson measures and the characterizations of BMO-type spaces associated with generalized Schrödinger operators ⋮ A new perspective on the Riesz potential ⋮ Homogeneous Campanato-Sobolev classes ⋮ Local scales and multiscale image decompositions

Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Intermediate spaces and interpolation, the complex method
• Fractional integration on the space $H^{1}$ and its dual
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