Carte Capacitary Calculus Keng Hao Ooi

Capacitary Calculus

With Special Attention to Sobolev Multiplier Spaces and Their Preduals

Autor: Keng Hao Ooi
Limbă: engleză
Legare: Copertă tare
Editura: De Gruyter
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
891.68 lei
This book offers a unified framework for the analysis of function spaces associated with non-additiv...

Informații despre carte

Autor
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2026
Pagini
200
EAN
9783112242322
Enbook ID
51330272
Editura
Greutate
539
Dimensiuni
170 x 240

Descriere completă

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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