BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM

It is proved that  space is strongly notmed, and  is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over  space and over metric spaces of  0 < p £ 1, is determined.

Bibliographic Details
Main Authors: Galina Y. Ryabykh, Vladimir G. Ryabykh
Format: Article
Language:Russian
Published: Don State Technical University 2018-07-01
Series:Вестник Донского государственного технического университета
Subjects:
Online Access:https://vestnik.donstu.ru/jour/article/view/455
Description
Summary:It is proved that  space is strongly notmed, and  is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over  space and over metric spaces of  0 < p £ 1, is determined.
ISSN:1992-5980
1992-6006