SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL μ

Abstract

For a complex regular Borel measure μ on Ω which is a subset of Ck, where k is a positive integer we define the Toeplitz operator Tμ on a reproducing analytic space which comtains polynomials. Using every symmetric polynomial is a polynomial of elementary polynomials, we show that if Tμ has finite rank then μ is a finite linear combination of point masses.