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Morphisms of Klein surfaces.

F. J. Cirre (1997)

Revista Matemática de la Universidad Complutense de Madrid

We give an elementary proof of a theorem of Andreian Cazacu on the behavior of morphisms of Klein surfaces under composition.

Multiple prime covers of the riemann sphere

Aaron Wootton (2005)

Open Mathematics

A compact Riemann surface X of genus g≥2 which admits a cyclic group of automorphisms C q of prime order q such that X/C q has genus 0 is called a cyclic q-gonal surface. If a q-gonal surface X is also p-gonal for some prime p≠q, then X is called a multiple prime surface. In this paper, we classify all multiple prime surfaces. A consequence of this classification is a proof of the fact that a cyclic q-gonal surface can be cyclic p-gonal for at most one other prime p.

Multiplicative isometries on the Smirnov class

Osamu Hatori, Yasuo Iida (2011)

Open Mathematics

We show that T is a surjective multiplicative (but not necessarily linear) isometry from the Smirnov class on the open unit disk, the ball, or the polydisk onto itself, if and only if there exists a holomorphic automorphism Φ such that T(f)=f ○ Φ for every class element f or T(f) = f ϕ ¯ ¯ for every class element f, where the automorphism Φ is a unitary transformation in the case of the ball and Φ(z 1, ..., z n) = ( λ 1 z i 1 , . . . , λ n z i n ) for |λ j| = 1, 1 ≤ j ≤ n, and (i 1; ..., i n)is some permutation of the integers from...

Multipliers and weighted ∂ operator estimates.

Joaquim Ortega-Cerdà (2002)

Revista Matemática Iberoamericana

We study estimates for the solution of the equation du=f in one variable. The new ingredient is the use of holomorphic functions with precise growth restrictions in the construction of explicit solution to the equation.

Multipliers of de Branges-Rovnyak spaces in H2.

Fernando Daniel Suárez (1995)

Revista Matemática Iberoamericana

In 1966 de Branges and Rovnyak introduced a concept of complementation associated to a contraction between Hilbert spaces that generalizes the classical concept of orthogonal complement. When applied to Toeplitz operators on the Hardy space of the disc, H2, this notion turned out to be the starting point of a beautiful subject, with many applications to function theory. The work has been in constant progress for the last few years. We study here the multipliers of some de Branges-Rovnyak spaces...

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