{"title":"Series: Advances in Analysis and Geometry","description":"\u003cp\u003e\u003cstrong\u003eAdvances in Analysis and Geometry\u003c\/strong\u003e offers readers a diverse exploration of topics that span from scientific inquiry and innovative technology to rich historical narratives and artistic expressions. This series invites an interdisciplinary journey, blending rigorous analysis with a broad cultural and intellectual canvas.\u003c\/p\u003e\n\n\u003cp\u003eWhether delving into complex scientific concepts, discovering pivotal moments in history, or reflecting on personal development, each title presents insightful perspectives that challenge and expand understanding. Readers can expect thoughtful engagement across Computing \u0026amp; Technology, Finance \u0026amp; Investment, History \u0026amp; Military, and beyond.\u003c\/p\u003e","products":[{"product_id":"capacitary-calculus-by-keng-hao-ooi-9783112242322","title":"Capacitary Calculus","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eThis 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.\u003c\/p\u003e\n\n\u003cp\u003eParticular 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.\u003c\/p\u003e\n\n\u003cp\u003eThe boundedness of maximal operators is analysed using tools from nonlinear potential theory, yielding vector-valued estimates in this setting.\u003c\/p\u003e\n\n\u003cp\u003eThe monograph is intended for researchers in analysis and PDEs interested in the interplay between capacity theory, function spaces, and operator estimates.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":47933921034476,"sku":"9783112242322","price":443.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9783112242322-capacitary-calculus.jpg?v=1783883542"}],"url":"https:\/\/bookhero.pro\/collections\/series-advances-in-analysis-and-geometry.oembed","provider":"Book Hero","version":"1.0","type":"link"}