Weighted Inequalities Of Hardy Type And Their Limiting Inequalities
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Author |
: Alois Kufner |
Publisher |
: World Scientific |
Total Pages |
: 380 |
Release |
: 2003 |
ISBN-10 |
: 9812381953 |
ISBN-13 |
: 9789812381958 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Weighted Inequalities of Hardy Type by : Alois Kufner
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 |
: Lars-erik Persson |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 480 |
Release |
: 2017-06-16 |
ISBN-10 |
: 9789813140660 |
ISBN-13 |
: 9813140666 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-erik Persson
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.
Author |
: Anna Wedestig |
Publisher |
: |
Total Pages |
: 106 |
Release |
: 2003 |
ISBN-10 |
: OCLC:186597281 |
ISBN-13 |
: |
Rating |
: 4/5 (81 Downloads) |
Synopsis Weighted Inequalities of Hardy-type and Their Limiting Inequalities by : Anna Wedestig
Author |
: Lars-Erik Persson |
Publisher |
: |
Total Pages |
: 480 |
Release |
: 2017 |
ISBN-10 |
: 9813140658 |
ISBN-13 |
: 9789813140653 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-Erik Persson
Author |
: Nikolai Kutev |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 158 |
Release |
: 2022-10-24 |
ISBN-10 |
: 9783110980370 |
ISBN-13 |
: 3110980371 |
Rating |
: 4/5 (70 Downloads) |
Synopsis Hardy Inequalities and Applications by : Nikolai Kutev
This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.
Author |
: Maria Nassyrova |
Publisher |
: |
Total Pages |
: 20 |
Release |
: 2002 |
ISBN-10 |
: OCLC:185953753 |
ISBN-13 |
: |
Rating |
: 4/5 (53 Downloads) |
Synopsis Weighted Inequalities Involving Hardy-type and Limiting Geometric Mean Operators by : Maria Nassyrova
Author |
: Ravi P. Agarwal |
Publisher |
: Springer |
Total Pages |
: 309 |
Release |
: 2016-10-20 |
ISBN-10 |
: 9783319442990 |
ISBN-13 |
: 3319442996 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Hardy Type Inequalities on Time Scales by : Ravi P. Agarwal
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.
Author |
: Bohumír Opic |
Publisher |
: Longman Scientific and Technical |
Total Pages |
: 364 |
Release |
: 1990 |
ISBN-10 |
: UVA:X001794132 |
ISBN-13 |
: |
Rating |
: 4/5 (32 Downloads) |
Synopsis Hardy-type Inequalities by : Bohumír Opic
Author |
: J. García-Cuerva |
Publisher |
: Elsevier |
Total Pages |
: 615 |
Release |
: 2011-08-18 |
ISBN-10 |
: 9780080872278 |
ISBN-13 |
: 0080872271 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Weighted Norm Inequalities and Related Topics by : J. García-Cuerva
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 |
: Alexander A. Balinsky |
Publisher |
: Springer |
Total Pages |
: 277 |
Release |
: 2015-10-20 |
ISBN-10 |
: 9783319228709 |
ISBN-13 |
: 3319228706 |
Rating |
: 4/5 (09 Downloads) |
Synopsis The Analysis and Geometry of Hardy's Inequality by : Alexander A. Balinsky
This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.