“Beurling type” subspaces of 𝐿^{𝑝}(𝐓²) and 𝐇^{𝐩}(𝐓²)

Author:

Redett D.

Abstract

In this note we extend the “Beurling type” characterizations of subspaces of L 2 ( T 2 ) L^2(\mathbf {T}^2) and H 2 ( T 2 ) H^2(\mathbf {T}^2) to L p ( T 2 ) L^p(\mathbf {T}^2) and H p ( T 2 ) H^p(\mathbf {T}^2) , respectively.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Ring homomorphisms which are also lattice homomorphisms;Ward, Morgan;Amer. J. Math.,1939

2. On Beurling type invariant subspaces of 𝐿²(𝑇²) and their equivalence;Ghatage, P.;J. Operator Theory,1988

3. The validity of Beurling theorems in polydiscs;Mandrekar, V.;Proc. Amer. Math. Soc.,1988

4. Interscience Tracts in Pure and Applied Mathematics, No. 12;Rudin, Walter,1962

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