منابع مشابه
Reverse Carleson embeddings for model spaces
The classical embedding theorem of Carleson deals with finite positive Borel measures μ on the closed unit disk for which there exists a positive constant c such that ‖f‖L2(μ) ≤ c‖f‖H2 for all f ∈ H, the Hardy space of the unit disk. Lefèvre et al. examined measures μ for which there exists a positive constant c such that ‖f‖L2(μ) ≥ c‖f‖H2 for all f ∈ H. The first type of inequality above was e...
متن کاملCarleson 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 کاملThe Bi-carleson Operator
We prove L estimates (Theorem 1.3) for the Bi-Carleson operator defined below. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel [11] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.
متن کاملOn Laplace–Carleson embedding theorems
This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive h...
متن کاملA Variation Norm Carleson Theorem
By a standard approximation argument it follows that S[f ] may be meaningfully defined as a continuous function in ξ for almost every x whenever f ∈ L and the a priori bound of the theorem continues to hold for such functions. Theorem 1.1 is intimately related to almost everywhere convergence of partial Fourier sums for functions in L[0, 1]. Via a transference principle [12], it is indeed equiv...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 1996
ISSN: 1085-3375
DOI: 10.1155/s1085337596000097