منابع مشابه
Carleson and Vanishing Carleson Measures on Radial Trees
We extend a discrete version of an extension of Carleson’s theorem proved in [5] to a large class of trees T that have certain radial properties. We introduce the geometric notion of s-vanishing Carleson measure on such a tree T (with s ≥ 1) and give several characterizations of such measures. Given a measure σ on T and p ≥ 1, let Lp(σ) denote the space of functions g defined on T such that |g|...
متن کاملCapacity, Carleson Measures, Boundary Convergence, and Exceptional Sets
There is a fundamental relation between the capacity of a set and energy integrals of probability measures supported on that set. If the capacity is small the energy integral will be large; in particular sets of capacity zero cannot support probability measures of nite energy. Here we develop similar ideas relating capacity to Carleson measures. We show that if a set has small capacity then an...
متن کاملCarleson Measures on Dirichlet-type Spaces
We show that a maximal inequality holds for the non-tangential maximal operator on Dirichlet spaces with harmonic weights on the open unit disc. We then investigate two notions of Carleson measures on these spaces and use the maximal inequality to give characterizations of the Carleson measures in terms of an associated capacity.
متن کاملA survey on reverse Carleson measures
This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.
متن کاملNew results on p-Carleson measures and some related measures in the unit disk
We provide some new sharp embeddings for p-Carleson measures and some related measures in the unit disk of the complex plane.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2009
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-009-7079-x