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Showing 1 to 3 of 3 for “"inner function"”.
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Invariant measures for inner functions
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half plane. Absolutely continuous invariant, measures for inner functions, ergodicity and exactness will be discussed. Moreover, under some conditions, we prove that the restriction of an inner function …
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On the Integrability of Derivatives of Holomorphic and M-Subharmonic Inner Functions In the Unit Ball of Cn
… unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provided that its modulus has a radial limit of 1 almost everywhere on Sn where Sn is the unit sphere.</p> <p>If a > -1 and p > 0 then Apa denotes the weighted Bergman space of all holomorphic functions weighted by …
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The Boundary Behavior of Holomorphic Functions
… type problems, the Lindel\"{o}f principle, and inner functions have been well studied for strongly pseudoconvex domains. In this thesis, we are going to study more generalized domains, those of finite type. In Chapter 2 we show that there is no Fatou's theorem for approach regions complex …