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SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL μSOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL μ
- Other Titles
- SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL μ
- Authors
- 강시호
- Issue Date
- Sep-2010
- Publisher
- 충청수학회
- Keywords
- weighted Bergman spaces; Toeplitz operators; support; elementary polynomials
- Citation
- 충청수학회지, v.23, no.3, pp 471 - 479
- Pages
- 9
- Journal Title
- 충청수학회지
- Volume
- 23
- Number
- 3
- Start Page
- 471
- End Page
- 479
- ISSN
- 1226-3524
2383-6245
- 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.
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