On the theory of weighted classes of area integrable regular functions

Abstract

The article contains some generalizations of the theorems of M.M. Djrbashian of 1945–1948 which laid ground for the theory of

(or initially H^p (α) ) spaces and the factorization theory of meromorphic classes N{ω } in the unit disc. Also some later results on

spaces and Nevanlinna's weighted class are improved. The article gives an analytic apparatus which lies in the base of the contemporarily developing theory of

spaces, where instead (1−r ²)^α dr some weights of the form dω (r ²) with ω of bounded variation are used.

Keywords:

• Banach spaces of regular functions
• Nevanlinna classes
• Mathematics Subject Classifications: 46E15
• 46E22

Notes

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Additional information

Notes on contributors

A.M. Jerbashian *

E-mail: [email protected]