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Книга Capacitary Calculus Keng Hao Ooi

Capacitary Calculus

With Special Attention to Sobolev Multiplier Spaces and Their Preduals

Автор: Keng Hao Ooi
Език: Английски език
Корици: С твърди корици
Издател: De Gruyter
Наличност: Външен склад
Изпращаме след 14-21 дни
163.45 € 319.68 лв
This book offers a unified framework for the analysis of function spaces associated with non-additiv...

Информация за книгата

Автор
Keng Hao Ooi
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2026
страници
200
EAN
9783112242322
Enbook ID
51330272
Издател
De Gruyter
Теглоt
539
Размери
170 x 240

Пълно описание

This book offers a unified framework for the analysis of function spaces associated with non-additive measures. Motivated by questions arising in nonlinear potential theory and super-critical PDEs, it develops the calculus of Choquet integration and studies the structural properties of Lorentz-type spaces defined via general capacities. Particular attention is given to Bessel capacities, including their role in describing fine properties of Sobolev functions and the normability of Choquet integral spaces. Building on this foundation, the second part introduces and characterizes Sobolev multiplier spaces defined through capacities, establishing their preduals and embedding properties. The boundedness of maximal operators is analyzed using tools from nonlinear potential theory, yielding vector-valued estimates in this setting. The monograph is intended for researchers in analysis and PDEs interested in the interplay between capacity theory, function spaces, and operator estimates.

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