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Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
Calderón-Zygmund decomposition Carleson measure weighted Bergman space
2012/6/21
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...
On the operator space $OUMD$ property for the column Hilbert space $C$
column Hilbert space operator space Functional Analysis
2011/9/20
Abstract: The operator space $OUMD$ property was introduced by Pisier in the context of verctor-valued noncommutative $L_p$-spaces. It is still unknown whether the property is independent of $p$ in th...
The Douglas property for multiplier algebras of operators
corona theorem, reproducing kernels Functional Analysis
2011/8/25
Abstract: For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and ball and for the Bergman space, k is a complete Pick kernel if and only if the multipli...
C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
The main results of this note are:• It is consistent that every subparacompact space X of size !1 is a D-space.
Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators
Metric graphs Brownian motion Feller processes Feller’s theorem
2011/1/18
Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller’s theorem for metric graphs.
On the Discrete Squeezing Property for Semilinear Wave Equations
Discrete Squeezing Property Semilinear Wave Equ
2010/3/4
On the Discrete Squeezing Property for Semilinear Wave Equations。