On \(s\)-sets and mutual absolute continuity of measures on homogeneous spaces

DOI10.1007/BF02677845zbMath0895.43002MaRDI QIDQ1382620

Tord Sjödin

Publication date: 8 September 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156330

zbMATH Keywords

homogeneous spacesHausdorff dimensionHausdorff measurequasiconformal map\(s\)-set\(D_s\)-measures

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Quasiconformal mappings in the complex plane (30C62) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (3)

Radial-type Muckenhoupt weights ⋮ Powers of distances to lower dimensional sets as Muckenhoupt weights ⋮ Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type

Cites Work

• A note on capacity and Hausdorff measure in homogeneous spaces
• The boundary correspondence under quasiconformal mappings
• Lipschitz functions on spaces of homogeneous type
• The theory of weights and the Dirichlet problem for elliptic equations
• Two monotonic, singular, uniformly almost smooth functions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• ON MEASURES WITH THE DOUBLING CONDITION
• Besov Spaces on Closed Subsets of ℝ n
• Measures Satisfying a Refined Doubling Condition and Absolute Continuity
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