000 05525nam a22006855i 4500
001 978-3-030-02895-4
003 DE-He213
005 20201217111315.0
007 cr nn 008mamaa
008 190702s2019 gw | s |||| 0|eng d
020 _a9783030028954
_9978-3-030-02895-4
024 7 _a10.1007/978-3-030-02895-4
_2doi
072 7 _aPBG
_2bicssc
072 7 _aMAT014000
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
100 1 _aRuzhansky, Michael.
_997813
245 1 0 _aHardy Inequalities on Homogeneous Groups
_h[electronic resource] :
_b100 Years of Hardy Inequalities /
_cby Michael Ruzhansky, Durvudkhan Suragan.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2019.
300 _aXVI, 571 p. 1 illus.
_bonline resource.
336 _btxt
337 _bc
338 _bcr
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics,
_x0743-1643 ;
_v327
500 _aIT Carlow ebook
505 0 _aIntroduction -- 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 _aOpen Access
520 _aThis 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 _aTopological groups.
_997814
650 0 _aLie groups.
_997815
650 0 _aPotential theory (Mathematics).
_997816
650 0 _aPartial differential equations.
_997817
650 0 _aHarmonic analysis.
_997818
650 0 _aFunctional analysis.
_93984
650 0 _aDifferential geometry.
_997819
650 1 4 _aTopological Groups, Lie Groups.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11132
_997820
650 2 4 _aPotential Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12163
_997821
650 2 4 _aPartial Differential Equations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12155
_997822
650 2 4 _aAbstract Harmonic Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12015
_997823
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
_93984
650 2 4 _aDifferential Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21022
_997824
700 1 _aSuragan, Durvudkhan.
_997825
710 2 _aSpringerLink (Online service)
_930940
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030028947
776 0 8 _iPrinted edition:
_z9783030028961
830 0 _aProgress in Mathematics,
_x0743-1643 ;
_v327
_997826
856 0 _ySend a message to library staff if access to this online resource is unavailable
_uhttps://tinyurl.com/y2hljxwd
856 4 0 _yLink to Springer open access ebook
_uhttps://doi.org/10.1007/978-3-030-02895-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c49396
_d49396