Expansivity and Contractivity of Toeplitz Operators on Newton Spaces

The Newton space N 2 ( H ) has Newton polynomials as an orthonormal basis. In this paper, we study some properties of Newton polynomials. Using these results, we investigate properties of expansive and contractive Toeplitz operators with analytic and co-analytic symbols on a Newton space.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2024-03, Vol.21 (2), Article 57
Main Authors: Ko, Eungil, Lee, Ji Eun, Lee, Jongrak
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Operators
Polynomials
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Description
Summary:The Newton space N 2 ( H ) has Newton polynomials as an orthonormal basis. In this paper, we study some properties of Newton polynomials. Using these results, we investigate properties of expansive and contractive Toeplitz operators with analytic and co-analytic symbols on a Newton space.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-024-02599-z