Weighted Inequalities of Hardy Type (Second Edition)

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy type inequalities; (d) Hardy type inequalities in other function spaces with special emphasize on Morrey and Hölder type spaces; and (e) a number of new open questions.

Author: Alois Kufner, Natasha Samko, Lars-Erik Persson

Publisher: World Scientific Publishing Company

Publication Date: Aug 29, 2017

Number of Pages: 450 pages

Language: English

Binding: Hardcover

ISBN-10: 981314064X

ISBN-13: 9789813140646