Results 111 to 120 of about 452 (150)

On the Continuation of a Riemann Surface

The Annals of Mathematics, 1942
Let F denote a Riemann surface in the sense of Weyl-Rado [15, 17]. If there exists another Riemann surface G such that F admits a (1, 1) directly conformal map onto a proper part, F', of G, then F is said to be continuable and G is said to be a continuation of F; otherwise, F is said to be non-continuable or maximal.
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On VMOA for Riemann Surfaces

Canadian Journal of Mathematics, 1988
Let Δ = {z│ │z│ < 1} be the unit disk and f an analytic function in Δ. The Dirichlet integral DΔ(f) of f on Δ is defined byand we denote by AD(Δ) the space of all functions f analytic on Δ for which DΔ(f) < ∞. We denote by BMOA(Δ) the space of analytic functions f in Δ for whichand by VMOA(Δ) the space of those analytic functions f in BMOA(Δ ...
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Continuations of Riemann Surfaces

Canadian Journal of Mathematics, 1992
AbstractWe shall show that if a Riemann surface is continuable, then it admits one of three types of continuations. Using this classification of continuations, we construct two nontrivial examples of two-sheeted unlimited covering Riemann surfaces of the unit disk one of which is continuable and the other is not.
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On BMOA for Riemann Surfaces

Canadian Journal of Mathematics, 1981
Let Δ denote the unit disk in the complex plane C. The space BMO has been extensively studied by many authors (see [3] for a good exposition of this topic). Recently, the subspace BMOA (Δ) has become a topic of interest. An analytic function f, in the Hardy class H2(A), belongs to BMOA (Δ) if(1)whereIt is known (see [3, p.
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Riemann Surfaces

2011
Abstract The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields.
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On Maximal Riemann Surfaces

American Journal of Mathematics, 1966
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Braids and riemann surfaces

Communications on Pure and Applied Mathematics, 1972
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Stable principal bundles on a compact Riemann surface

Mathematische Annalen, 1975
A Ramanathan, Ramanathan A
exaly  

Riemann Surfaces of Class A

Transactions of the American Mathematical Society, 1956
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A Moser-Trudinger inequality on the boundary of a compact Riemann surface

Mathematische Zeitschrift, 2005
Li Yuxiang
exaly