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학술저널

SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL ¹

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For a complex regular Borel measure ¹ on ­ which is a subset of Ck, where k is a positive integer we de¯ne the Toeplitz operator T¹ on a reproducing analytic space which comtains poly-nomials. Using every symmetric polynomial is a polynomial of ele-mentary polynomials, we show that if T¹ has ¯nite rank then ¹ is a ¯nite linear combination of point masses.

1. Introduction

2. Polynomials

3. Toeplitz operators

References

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