Norms of Hankel operators and uniform algebras, II

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概要

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• Let {H^∞ } be an abstract Hardy space associated with a uniform algebra. Denoting by (f) the coset in {({L^∞ })<SUP> - 1</SUP>}/{({H^∞ })<SUP> - 1</SUP>} of an f in {({L^∞ })<SUP> - 1</SUP>}, define \left// {(f)} \right// = \inf { {\left// g \right//_∞ }{\left// {{g<SUP> - 1</SUP>}} \right//_∞ };g \in (f)} and { \left// {(f)} \right//;(f) \in {({L^∞ })<SUP> - 1</SUP>}/{({H^∞ })<SUP> - 1</SUP>}} . If {γ _0} is finite, we show that the norms of Hankel operators are equivalent to the dual norms of {H^1} or the distances of the symbols of Hankel operators from {H^∞ }. If {H^∞ } is the algebra of bounded analytic functions on a multiply connected domain, then we show that {γ _0} is finite and we determine the essential norms of Hankel operators.

• 東北大学の論文

著者

• Nakazi Takahiko

  Department Of Mathematics Faculty Of Science (general Education) Hokkaido University

• Nakazi Takahiko

  Department of Mathematics, Faculty of Science (General Education), Hokkaido University

関連論文

• GENERALIZED NUMERICAL RADIUS AND UNITARY _DILATION
• Norms of Hankel operators and uniform algebras, II
• Kernels of Toeplitz operators
• Isometric Composition Operators Between Two Weighted Hardy Spaces
• PROPERTIES OF A RUDIN'S ORTHOGONAL FUNCTION WHICH IS A LINEAR COMBINATION OF TWO INNER FUNCTIONS

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