Book Review: Sub-Hardy Hilbert spaces in the unit disk
نویسندگان
چکیده
منابع مشابه
Sub-Bergman Hilbert Spaces on the Unit Disk
If the contraction T is a Toeplitz operator on H2 or A2 induced by an analytic function φ, we then denote the resulting space by H(φ). Similarly, if T is the Toeplitz operator on H2 or A2 induced by a conjugate analytic symbol φ, then we denote the resulting space by H(φ). In the context of Hardy spaces, H(φ) and H(φ) are called sub-Hardy Hilbert spaces by Sarason in [6]. We thus arrive at the ...
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We propose two possible definitions for the notion of a sampling sequence (or set) for Hardy spaces of the disk. The first one is inspired by recent work of Bruna, Nicolau, and Øyma about interpolating sequences in the same spaces, and it yields sampling sets which do not depend on the value of p and correspond to the result proved for bounded functions (p =∞) by Brown, Shields and Zeller. The ...
متن کامل$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework
In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied. The analogs of some results in the classical theory of Hardy spaces are proved for the new spaces. It is shown that the Cauchy singular integral operator is...
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Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1996
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-96-00634-9