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OverviewThis monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory. Full Product DetailsAuthor: Liguang Liu , Jie Xiao , Dachun Yang , Wen YuanPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2018 Volume: 2225 Weight: 0.454kg ISBN: 9783319950396ISBN 10: 3319950398 Pages: 108 Publication Date: 21 September 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsGaussian Sobolev p-space.- Gaussian Campanato (p, k)-class.- Gaussian p-capacity.- Restriction of Gaussian Sobolev p-space.- Gaussian 1-capacity to Gaussian -capacity.- Gaussian BV-capacity.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |