On Holder's inequality in Lebesgue spaces with variable order of summability
Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 472-482
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In this paper, we introduce a new version of the definition of a quasi-norm (in particular, a norm) in Lebesgue spaces with variable order of summability. Using it, we prove an analogue of Hölder's inequality for such spaces, which is more general and more precise than those known earlier.
@article{CMFD_2021_67_3_a4,
author = {V. I. Burenkov and T. V. Tararykova},
title = {On {Holder's} inequality in {Lebesgue} spaces with variable order of summability},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {472--482},
publisher = {mathdoc},
volume = {67},
number = {3},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a4/}
}
TY - JOUR AU - V. I. Burenkov AU - T. V. Tararykova TI - On Holder's inequality in Lebesgue spaces with variable order of summability JO - Contemporary Mathematics. Fundamental Directions PY - 2021 SP - 472 EP - 482 VL - 67 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a4/ LA - ru ID - CMFD_2021_67_3_a4 ER -
%0 Journal Article %A V. I. Burenkov %A T. V. Tararykova %T On Holder's inequality in Lebesgue spaces with variable order of summability %J Contemporary Mathematics. Fundamental Directions %D 2021 %P 472-482 %V 67 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a4/ %G ru %F CMFD_2021_67_3_a4
V. I. Burenkov; T. V. Tararykova. On Holder's inequality in Lebesgue spaces with variable order of summability. Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 472-482. http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a4/