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

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Abstract

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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  • Mertens, Jean-Francois & Rubinchik, Anna, "undated". "Separate control over the local and the asymptotic behaviour in L_p spaces," Working Papers WP2011/1, University of Haifa, Department of Economics.
    • Handle: RePEc:haf:huedwp:wp201101
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    File URL: http://hevra.haifa.ac.il/econ/wp_files/wp201101.pdf
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    Cited by:

    1. Jean-François Mertens & Anna Rubinchik, 2013. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 537-595, November.

    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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