Geometric result in the boundary behaviour of Blaschke products

• Autorzy: Mouratidis Chr.
• Konferencja: Informatics and Related Fields / XIV International Conference on Mathematics (XIV ; 7-11.11.2008 ; Ustrzyki Dolne, Polska)
• Języki publikacji: EN

Abstrakty

EN

For a Blaschke product B with zeros in an angular domain having vertex on the unit circle we give a necessary and sufficient condition for the boundary behavior of B, in terms only of the distribution of the zeros. Moreover, we show, with a counterexample, the non-equivalence of two known results of Tanaka, concerning the specific boundary behavior of Blaschke products.

Słowa kluczowe

EN

blaschke products; bonduary behaviour; Blaschke product

PL

funkcja analityczna ograniczona; iloczyn Blaschke

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 91--97
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Mouratidis Chr.

• Technological Institute of West Macedonia, Koila, 50100, Kozani, Greece.,

Bibliografia

• [1] P. Colwell. Blaschke Products (Bounded Analytic functions). The University of Michigan, 1985.
• [2] P. Duren. Theory of Hp spaces, volume 38 of Pure and Applied Mathematics. Academic Press, 1970.
• [3] W. Rudin. Real and Complex Analysis. McGraw-Hill, Inc., 1966.
• [4] J. Shapiro. Composition Operators and classical functions theory. Springer Verlag, 1993.
• [5] C. Tanaka. Some limit theorems for blaschke products in the unit circle. Mem. School Sci. Eng. Waseda Univ.,Tokyo, 29:87-107, 1965.