Geodesic
Weighted Subspaces of Hardy Spaces
Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1074-1083

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

A function f in Hp on the unit disc U of the complex plane has the uniform growth We consider in this paper a subspace of Hp with better uniform growth For the previous results on see [5, 6, 7]. We start with proving an inequality on Hp which is related to the Hardy-Stein identity (Theorem 2.1) in Section 2. This is applied in the subsequent section to prove some space imbedding theorems related to (Theorems 3.1 and 3.5). These theorems have some known theorems as their corollaries. Finally we prove some coefficient relations on in the last section.The authors wish to thank Professor Patrick Ahern for the helpful conversations during his visit to Korea. Actually he suggested to the first author the possibility of Theorem 2.1 some years ago. 
Kim, Hong Oh; Kwon, Ern Geun. Weighted Subspaces of Hardy Spaces. Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1074-1083. doi: 10.4153/CJM-1988-044-2
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