Exact Calculation of Sums of Cones in Lorentz Spaces


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A method for exactly calculating norm on the sum of the cones of nonincreasing or concave functions in Lorentz spaces is proposed. The obtained result makes it possible to prove new extrapolation theorems for cones in Lorentz, Lebesgue, and Marcinkiewicz spaces with exact constants.

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E. Berezhnoi

Yaroslavl State University

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Email: ber@uniyar.ac.ru
俄罗斯联邦, Yaroslavl

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