On uniform properties of doubling measures

DOI10.1090/S0002-9939-01-05931-7zbMath0973.54029MaRDI QIDQ2731939

Michael Ruzhansky

Publication date: 30 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) General theory of locally convex spaces (46A03) Other connections with logic and set theory (28E15)

Related Items (2)

Combinatorial and spectral aspects of nearest neighbor graphs in doubling dimensional and nearly-Euclidean spaces ⋮ \(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas

Cites Work

• Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces
• White noise calculus and Fock space
• Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups
• Poincare inequalities, isoperimetric estimates, and representation formulas on product spaces
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