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Invariant subspaces on open Riemann surfaces

Morisuke Hasumi (1974)

Annales de l'institut Fourier

Let $R$ be a hyperbolic Riemann surface, $d_{χ}$ a harmonic measure supported on the Martin boundary of $R$ , and $H^{\infty} (d χ)$ the subalgebra of $L^{\infty} (d χ)$ consisting of the boundary values of bounded analytic functions on $R$ . This paper gives a complete classification of the closed $H^{\infty} (d χ)$ -submodules of $L^{p} (d χ)$ , $1 \leq p \leq \infty$ (weakly $^{*}$ closed, if $p = \infty$ , when $R$ is regular and admits a sufficiently large family of bounded multiplicative analytic functions satisfying an approximation condition. It also gives, as a corollary, a corresponding result for the Hardy...

Invariant subspaces on open Riemann surfaces. II

Morisuke Hasumi (1976)

Annales de l'institut Fourier

We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.

Displaying 21 – 27 of 27

Invariant subspaces on open Riemann surfaces

Invariant subspaces on open Riemann surfaces. II

Inverse source problem in a 3D ball from best meromorphic approximation on 2D slices.

Inversion of the Cauchy integral taken over the double periodic line.

Investigation of a certain system of singular integral equations of arbitrary power

Isomorphisms of the Disc Algebra and Iverse Faber Sets.

Iteration of the Pompeiu integral operator and complex higher order equations.

Currently displaying 21 – 27 of 27