Geodesic
Exact Calculation of Sums of Cones in Lorentz Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 66-71

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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.
Keywords: sum of cones in Lorentz space, extrapolation theorem. 
@article{FAA_2018_52_2_a4,
     author = {E. I. Berezhnoi},
     title = {Exact {Calculation} of {Sums} of {Cones} in {Lorentz} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {66--71},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_2_a4/}
}
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E. I. Berezhnoi. Exact Calculation of Sums of Cones in Lorentz Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 2, pp. 66-71. http://geodesic.mathdoc.fr/item/FAA_2018_52_2_a4/