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LAP Lambert Academic Publishing Обратные неравенства Йенсена и средние колебания функций

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Description

В работе изучаются свойства функций, удовлетворяющих обратные неравенства Йенсена или Гельдера, BMO-продолжение функций, обобщение классов функций с ограниченным средним колебанием, связь между интегральными свойствами обобщенных максимальных функций Харди-Литтлвуда и Феффермана-Стейна. Основные результаты работы состоят в следующем: установлено соотношение между равноизмеримой перестановкой функции и равноизмеримой перестановкой ее сужения, на основе которого получены точные оценки равноизмеримых перестановок функций, удовлетворяющих обратные неравенства Гельдера или Йенсена в терминах разностей средних интегральных различных порядков в анизотропном случае; построен оператор продолжения функций с ограниченным средним колебанием с отрезка на всю числовую прямую с дополнительными условиями на продолжение с асимптотически лучшей нормой; неравенство Джона-Ниренберга распространено на обобщенные классы BMO и доказано вложения этих классов в пространство функций с ограниченными средними колебаниями; установлены интегральные соотношения между обобщенными максимальными функциями Харди-Литтлвуда и Феффермана-Стейна в терминах классов Орлича.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
11 June 2019
Listed Since
05 July 2019

Barcode

No barcode data available

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