منابع مشابه
Composition operators acting on weighted Hilbert spaces of analytic functions
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
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in this paper, we considered composition operators on weighted hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a hilbert-schmidt characterization and characterizes the membership in schatten-class for these operators. also, closed range composition operators are investigated.
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Harmonic and analytic functions have natural discrete analogues. Harmonic functions can be defined on every graph, while analytic functions (or, more precisely, holomorphic forms) can be defined on graphs embedded in orientable surfaces. Many important properties of the “true” harmonic and analytic functions can be carried over to the discrete setting.
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for every point (x, y) E Z, X Z, . If Z, x Z, is identified with the lattice (h(m + in); m, 1z integers} embedded in the complex plane, then condition (1.1) is seen to be an “analyticity” condition: On each unit square of the lattice, the difference quotients along the two diagonals are the same. The above definition of analyticity was introduced by Ferrand [I] and many properties of such funct...
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Abstract The study of analytic semiflows on the open unit disc and the particular form of its infinitesimal generator G makes possible the study of semigroups of composition operators (T (t))t≥0 on various well-known spaces of holomorphic functions such as Hardy, Dirichlet and Bergman spaces. We will provide compactness, analyticity and invertibility complete characterization of (T (t))t≥0 in t...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1966
ISSN: 0386-2194
DOI: 10.3792/pja/1195521936