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Title |
Multiplicative Function on Spaces of Analytic Functions |
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Author |
Seyed Hamzeh BagheriNejad |
| Citation |
Vol. 25 No. 8 pp. 69-76 |
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Abstract |
The main objective of this research is to study the multiplicative functions of analytic functions spaces, especially in the Hardy spaces. First, the introduction and definitions of the used theorems are expressed and then the analysis of the Hardy space H2 is analyzed by Blaschke multiplications. Based on Beurling theorem, each subspace dependent on Hardy space H2 and steady under multiplicative function M2 can be expressed as M = bH2 and b is an internal function in it. In this study, this theorem is supposed to be generalized as a Hardy space H2 to De Branges spaces. Assume that M is a Hilbert space, so M is a De Branges space. We want to analyze the existence of an analytic and unique function b that created the relationship M=bH2 condition 1. In includes two parts and in the first part the included De Branges spaces studied analytic functions in some of the Banach spaces. In the second part, an extension of Buerling theorem is represented on a Hilbert space of analytic functions. |
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Keywords |
Function, analysis, multiplicative |
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