Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The spaces $ H\sp p(B\sb n), \;0<p<1,$ and $ B\sb {pq}(B\sb n),\;0<p<q<1,$ are not locally convex

Author: Ji Huai Shi
Journal: Proc. Amer. Math. Soc. 103 (1988), 69-74
MSC: Primary 46E10; Secondary 32A35
MathSciNet review: 938646
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note, we use the Ryll-Wojtaszczyk polynomials to prove that the spaces $ {H^p}\left( {{B_n}} \right),0 < p < 1$, and $ {B_{pq}}\left( {{B_n}} \right),0 < p < q < 1$, fail to be locally convex.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46E10, 32A35

Retrieve articles in all journals with MSC: 46E10, 32A35

Additional Information

Article copyright: © Copyright 1988 American Mathematical Society