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CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE: CONFORMALLY COVARIANT OPERATORS
CONFORMAL INVARIANTS ASSOCIATED MEASURE CONFORMALLY COVARIANT OPERATORS
2014/4/3
In this paper we study Riemannian manifolds (Mn, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling...
Physical Measure and Absolute Continuity for One-Dimensional Center Direction
Physical Measure Absolute Continuity One-Dimensional Center Direction
2011/1/17
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
A non-ergodic probabilistic cellular automaton with a unique invariant measure
Probabilistic cellular automaton interacting particle system ergodicity
2010/12/15
We exhibit a Probabilistic Cellular Automaton (PCA) on {0, 1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure.This answers by the negative an old open qu...
Resolvent at low energy III: the spectral measure
scattering metric resolvent kernel spectral measure
2010/12/7
Let M◦ be a complete noncompact manifold and g an asymptotically conic Riemaniann metric on M◦, in the sense that M◦ compactifies to a manifold with boundary M in such a way that g b...
Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
upper doubling geometrically doubling RBLO(μ) maximal operator
2010/11/30
Let (X, d, μ) be a metric measure space and satisfy the so-called upper dou-bling condition and the geometrically doubling condition. In this paper, the authors introduce the space RBLO(μ) and prove t...
We establish an area-type formula for the intrinsic spherical Hausdorff measure of every regular curve embedded in an arbitrary graded group.
On a measure of non-compactness for some classical operators
measure of non-compactness maximal functions singular integrals embeddings weight
2007/12/13
The measure of non-compactness is estimated from below for various operators, including the Hardy--Littlewood maximal opera\-tor, the fractional maximal operator and the Hilbert transform, all acting ...