Weighted Inequalities Of Hardy Type
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A01=Alois Kufner
A01=Lars-erik Persson
A01=Natasha Samko
Author_Alois Kufner
Author_Lars-erik Persson
Author_Natasha Samko
Category=PBK
Convexity
Duality Principle
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Hardy's Inequality
Hardy-Steklov Operator
Hardy-Type Operators
HardyAcAEURA"Steklov Operator
Hardy–Steklov Operator
Scales of Characterizing Conditions
Weighted Lebesque Spaces
Product details
- ISBN 9789813140646
- Publication Date: 08 Aug 2017
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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; and (e) a number of new open questions.
