Separate control over the local and the asymptotic behaviour in L_p spaces

We introduce 2 parameter variants L_{p,q} of the Lebesgue spaces, to gain separate control on the asymptotic behaviour (p) and the local behaviour (q). Thus they behave with respect to p like the spaces ell_p and with respect to q like the spaces L_q on a probability space. Convolution behaves very well on those spaces.

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Authors:	Mertens, Jean-Francois ; Rubinchik, Anna
Institutions:	Department of Economics, University of Haifa

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Extent:	application/pdf
Series:	Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Notes:	Number WP2011/1
Classification:	C02 - Mathematical Methods ; C60 - Mathematical Methods and Programming. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008853940