A new approach to function spaces on quasi-metric spaces

DOI10.5209/REV_REMA.2005.V18.N1.16701zbMath1091.46021MaRDI QIDQ558709

Hans Triebel

Publication date: 13 July 2005

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44538

zbMATH Keywords

Besov spacesRiesz potentialsentropy numberquasi-metric spacesatomic and subatomic decompositionssnowflaked transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Fractals (28A80)

Related Items (8)

$ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points ⋮ Classic and exotic Besov spaces induced by good grids ⋮ Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets ⋮ A Plancherel-Polya inequality in Besov spaces on spaces of homogeneous type ⋮ Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability ⋮ (q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results ⋮ Pre-metric spaces along with different types of triangle inequalities ⋮ Pointwise characterization of Sobolev classes

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