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On Hölder's inequality in Lebesgue spaces with variable summability exponent V. I. Burenkova, T. V. Tararykovab a Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow b Peoples' Friendship University of Russia, Moscow |
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Abstract: A new version of the definition of a quasi-norm (in particular, a norm) in Lebesgue spaces with variable summability exponent is introduced, and with its help an analogue of Hölder's inequality is proved for such spaces which is more general and more precise than known earlier. Website: https://teams.microsoft.com/l/meetup-join/19%3ameeting_ZGQyYjg1NGQtZjRjZi00YmE2LTk2ODAtN2IzODYxMDE2OTg3%40thread.v2/0?context=%7b%22Tid%22%3a%222ae95c20-c675-4c48-88d3-f276b762bf52%22%2c%22Oid%22%3a%22b9b023a8-1202-4361-afc9-101dc49ef4a6%22%7d |
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