Convexity and concavity constants in Lorentz and Marcinkiewicz spaces |
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Authors: | Anna Kamińska Anca M Parrish |
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Institution: | Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA |
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Abstract: | 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. Kamińska, 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]. |
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Keywords: | q-Convexity (concavity) constants Lorentz spaces Marcinkiewicz spaces |
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