Interpolating sequences for the Banach algebras generated by a class of test functions

نویسندگان

چکیده

Given a domain $\Omega$ in $\mathbb{C}^n$ and collection of test functions $\Psi$ on $\Omega$, we consider the complex-valued $\Psi$-Schur-Agler class associated to pair $(\Omega,\,\Psi)$. In this article, characterize interpolating sequences for Banach algebra which is closed unit ball. When disc $\mathbb{D}$ complex plane $\mathbb{C}$ function includes only identity $\mathbb{D}$, aforementioned bounded holomorphic case, our characterization reduces well known result by Carleson. Furthermore, present several other cases $(\Omega,\,\Psi)$, where main could be applied also show efficacy result.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

amenability of banach algebras

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...

15 صفحه اول

A New Class of Spatial Covariance Functions Generated by Higher-order Kernels

Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Moreover, we extend this class of spatial covariance functions to the spatio-temporal setting using the idea used in...

متن کامل

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

Banach Algebras of Operator Sequences

During the last decades it turned out to be fruitful to apply certain Banach algebra techniques in the theory of approximation of operators by matrix sequences. Here we discuss the case of operator sequences (acting on infinite dimensional Banach spaces and which do not necessarily converge strongly) and we derive analogous results concerning the stability and Fredholm properties of such sequen...

متن کامل

Interpolating and Sampling Sequences for Entire Functions

We characterise interpolating and sampling sequences for the spaces of entire functions f such that fe ∈ L(C), p ≥ 1 (and some related weighted classes), where φ is a subharmonic weight whose Laplacian is a doubling measure. The results are expressed in terms of some densities adapted to the metric induced by ∆φ. They generalise previous results by Seip for the case φ(z) = |z|2, and by Berndtss...

متن کامل

ذخیره 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: Operators and Matrices

سال: 2023

ISSN: ['1848-9974', '1846-3886']

DOI: https://doi.org/10.7153/oam-2023-17-21