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Capacitary Calculus

Name: Capacitary Calculus
Brand: De Gruyter
SKU: 9783112242322
Price: 61660 HUF
Availability: InStock

With Special Attention to Sobolev Multiplier Spaces and Their Preduals

Szerző: Keng Hao Ooi

Nyelv:

Kötés: Kemény kötésű

Kiadó: De Gruyter

Elérhetőség: Beszállítói készleten

Küldés 9-15 napon belül

61 660 Ft

This book offers a unified framework for the analysis of function spaces associated with non-additiv...

Információk a könyvről

Szerző

Keng Hao Ooi

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2026

oldal

200

EAN

9783112242322

Enbook ID

51330272

Kiadó

De Gruyter

Súly

539

Méretek

170 x 240

Teljes leírás

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.