Geodesic
Some Generalized Hardy Spaces
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 621-628

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1). Classes of such functions corresponding to the Hardy Hp spaces are considered and shown to possess boundary values in (2). Contrary to the classical case, such functions do not form a Banach space; hence they are not the functional analytic analogue of the classical spaces. In (3) quasi-analytic functions are defined while in (4) Hardy spaces of such functions are considered and are shown to have boundary values and to form a Banach space. 
Meeker, L. D. Some Generalized Hardy Spaces. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 621-628. doi: 10.4153/CJM-1967-055-1
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