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On an Inequality in Lebesgue Space with Mixed Norm and with Variable Summability Exponent

R. A. Bandaliev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: The main goal in this paper is to obtain an analog of the generalized Minkowski inequality and an embedding between the Lebesgue spaces with mixed norm and with variable summability exponent.

Keywords: Lebesgue space with mixed norm, Lebesgue space with variable summability exponent, measurable function, Banach space, Euclidean space, Lebesgue measurable set.

UDC: 517.518

Received: 25.04.2007

DOI: 10.4213/mzm4097

 English version: Mathematical Notes, 2008, 84:3, 303–313

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