Convexity and concavity constants in Lorentz and Marcinkiewicz spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:343

Article

Kaminska, Anna¹  Parrish, Anca M.¹ 

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

关键词: q-convexity (concavity) constants;    Lorentz spaces;    Marcinkiewicz spaces;   

DOI  :  10.1016/j.jmaa.2008.01.034

来源: Elsevier

【 摘 要 】

We provide here the formulas for the q-convexity and q-concavity constants for function and sequence Lorentz spaces associated to either decreasing or increasing weights. It yields also the formula for the q-convexity constants in function and sequence Marcinkiewicz spaces. In this paper we extent and enhance the results from [G.J.O. Jameson, The q-concavity constants of Lorentz sequence spaces and related inequalities, Math. Z. 227 (1998) 129-142] and [A. Kaminska, A.M. Parrish, The q-concavity and q-convexity constants in Lorentz spaces, in: Banach Spaces and Their Applications in Analysis, Conference in Honor of Nigel Kalton, May 2006, Walter de Gruyter, Berlin, 2007, pp. 357-373]. Published by Elsevier Inc.

【 授权许可】

Free