Original Articles

Norm Estimates for Operators T : H_p → l_q Involving l_r (l_s ) Norms

Published in: Quaestiones Mathematicae
Volume 28 , issue 3 , 2005 , pages: 263–270

DOI: 10.2989/16073600509486127

Author(s): Beth Osikiewicz

Keywords: HARDY SPACES , SEQUENCE SPACES , VECTOR-VALUED SEQUENCE SPACES

Abstract

Norm estimates for bounded linear operators T : H_p → l_q are derived in terms of the vector-valued norms of their matrix entries. Explanations are also provided to show that all of the upper estimates for ‖T‖ are sharp with respect to these norms.

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