Weighted Inequalities Of Hardy Type

Author : Alois Kufner
Publisher : World Scientific Publishing Company
ISBN 13 : 9813140666
Total Pages : 480 pages
Book Rating : 4.60/5 ( download)

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Download or read book Weighted Inequalities of Hardy Type written by Alois Kufner and published by World Scientific Publishing Company. This book was released on 2017-06-16 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Request Inspection Copy

Author : Alois Kufner
Publisher :
ISBN 13 : 9789812795502
Total Pages : pages
Book Rating : 4.02/5 ( download)

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Download or read book Weighted Inequalities of Hardy Type written by Alois Kufner and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : B. Opic
Publisher :
ISBN 13 : 9780608035987
Total Pages : 351 pages
Book Rating : 4.8X/5 ( download)

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Download or read book Hardy-Type Inequalities written by B. Opic and published by . This book was released on 1990-01-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lars-Erik Persson
Publisher :
ISBN 13 : 9789813140653
Total Pages : 480 pages
Book Rating : 4.58/5 ( download)

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Download or read book Weighted Inequalities Of Hardy Type (Second Edition) written by Lars-Erik Persson and published by . This book was released on 2017 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alois Kufner
Publisher : World Scientific
ISBN 13 : 9789812381958
Total Pages : 380 pages
Book Rating : 4.53/5 ( download)

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Download or read book Weighted Inequalities of Hardy Type written by Alois Kufner and published by World Scientific. This book was released on 2003 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michael Ruzhansky
Publisher : Springer
ISBN 13 : 303002895X
Total Pages : 579 pages
Book Rating : 4.54/5 ( download)

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Download or read book Hardy Inequalities on Homogeneous Groups written by Michael Ruzhansky and published by Springer. This book was released on 2019-07-02 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Author : Opic Bohumir
Publisher : World Scientific
ISBN 13 : 9813239646
Total Pages : 156 pages
Book Rating : 4.47/5 ( download)

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Download or read book Weighted Inequalities Involving ρ-quasiconcave Operators written by Opic Bohumir and published by World Scientific. This book was released on 1999-10-20 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) ∊ R. In this book we analyse the class Qρ(I) of ρ-quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Qρ(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.

Author : Ravi P. Agarwal
Publisher : Springer
ISBN 13 : 3319442996
Total Pages : 305 pages
Book Rating : 4.90/5 ( download)

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Download or read book Hardy Type Inequalities on Time Scales written by Ravi P. Agarwal and published by Springer. This book was released on 2016-10-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alois Kufner
Publisher :
ISBN 13 : 9788086843155
Total Pages : 161 pages
Book Rating : 4.57/5 ( download)

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Download or read book The Hardy Inequality written by Alois Kufner and published by . This book was released on 2007 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bohumír Opic
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.32/5 ( download)

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Download or read book Hardy-type Inequalities written by Bohumír Opic and published by Longman Scientific and Technical. This book was released on 1990 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: