Hardy Inequalities on Homogeneous Groups (Record no. 49396)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05525nam a22006855i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-02895-4 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20201217111315.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190702s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783030028954 |
| Local codes | 978-3-030-02895-4 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-030-02895-4 |
| Source of number or code | doi |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBG |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT014000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBG |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| Edition number | 23 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.482 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ruzhansky, Michael. |
| 9 (RLIN) | 97813 |
| 245 10 - TITLE STATEMENT | |
| Title | Hardy Inequalities on Homogeneous Groups |
| Medium | [electronic resource] : |
| Remainder of title | 100 Years of Hardy Inequalities / |
| Statement of responsibility, etc. | by Michael Ruzhansky, Durvudkhan Suragan. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Birkhäuser, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVI, 571 p. 1 illus. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type code | txt |
| 337 ## - MEDIA TYPE | |
| Media type code | c |
| 338 ## - CARRIER TYPE | |
| Carrier type code | cr |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Progress in Mathematics, |
| International Standard Serial Number | 0743-1643 ; |
| Volume/sequential designation | 327 |
| 500 ## - GENERAL NOTE | |
| General note | IT Carlow ebook |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Analysis on Homogeneous Groups -- Hardy Inequalities on Homogeneous Groups -- Rellich, Caarelli-Kohn-Nirenberg, and Sobolev Type Inequalities -- Fractional Hardy Inequalities -- Integral Hardy Inequalities on Homogeneous Groups -- Horizontal Inequalities on Stratied Groups -- Hardy-Rellich Inequalities and Fundamental Solutions -- Geometric Hardy Inequalities on Stratied Groups -- Uncertainty Relations on Homogeneous Groups -- Function Spaces on Homogeneous Groups -- Elements of Potential Theory on Stratified Groups -- Hardy and Rellich Inequalities for Sums of Squares -- Bibliography -- Index. |
| 506 0# - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Open Access |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Topological groups. |
| 9 (RLIN) | 97814 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Lie groups. |
| 9 (RLIN) | 97815 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Potential theory (Mathematics). |
| 9 (RLIN) | 97816 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Partial differential equations. |
| 9 (RLIN) | 97817 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Harmonic analysis. |
| 9 (RLIN) | 97818 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functional analysis. |
| 9 (RLIN) | 3984 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential geometry. |
| 9 (RLIN) | 97819 |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Topological Groups, Lie Groups. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M11132 |
| 9 (RLIN) | 97820 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Potential Theory. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M12163 |
| 9 (RLIN) | 97821 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Partial Differential Equations. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M12155 |
| 9 (RLIN) | 97822 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Abstract Harmonic Analysis. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M12015 |
| 9 (RLIN) | 97823 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functional Analysis. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M12066 |
| 9 (RLIN) | 3984 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential Geometry. |
| Authority record control number or standard number | https://scigraph.springernature.com/ontologies/product-market-codes/M21022 |
| 9 (RLIN) | 97824 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Suragan, Durvudkhan. |
| 9 (RLIN) | 97825 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 9 (RLIN) | 30940 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783030028947 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783030028961 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Progress in Mathematics, |
| International Standard Serial Number | 0743-1643 ; |
| Volume/sequential designation | 327 |
| 9 (RLIN) | 97826 |
| 856 0# - ELECTRONIC LOCATION AND ACCESS | |
| Link text | Send a message to library staff if access to this online resource is unavailable |
| Uniform Resource Identifier | <a href="https://tinyurl.com/y2hljxwd">https://tinyurl.com/y2hljxwd</a> |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Link text | Link to Springer open access ebook |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-030-02895-4">https://doi.org/10.1007/978-3-030-02895-4</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
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| -- | ZDB-2-SXMS |
| 912 ## - | |
| -- | ZDB-2-SOB |
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