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Author: J. García-Cuerva Publisher: Elsevier ISBN: 0080872271 Category : Mathematics Languages : en Pages : 615
Book Description
The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
Author: J. García-Cuerva Publisher: Elsevier ISBN: 0080872271 Category : Mathematics Languages : en Pages : 615
Book Description
The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
Author: Man K. Kwong Publisher: Springer ISBN: 3540475486 Category : Mathematics Languages : en Pages : 157
Book Description
Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.
Author: Alois Kufner Publisher: World Scientific Publishing Company ISBN: 9813106085 Category : Mathematics Languages : en Pages : 377
Book Description
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 fields 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. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.
Author: J. García-Cuerva
Author: J. García-Cuerva
Author: José L. Rubio de Francia
Author: Carlos Pérez
Author: Man K. Kwong
Author: Alois Kufner
Author: Vakhtang Mikhaĭlovich Kokilashvili
Author: C. Sbordone
Author: Donald Kendrick Krug
Author: Randel L. Combs
Author: Man K. Kwong