000 02240nam a22003378i 4500
001 CR9780511755217
003 UkCbUP
005 20200124160254.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100422s2007||||enk o ||1 0|eng|d
020 _a9780511755217 (ebook)
020 _z9780521876247 (hardback)
020 _z9780521699730 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA295
_b.G319 2007
082 0 0 _a515/.26
_222
100 1 _aGarling, D. J. H.,
_eauthor.
245 1 0 _aInequalities :
_ba journey into linear analysis /
_cD.J.H. Garling.
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (ix, 335 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of function spaces, linear operators between them, and of special classes of operators such as absolutely summing operators. This textbook complements and fills out standard treatments, providing many diverse applications: for example, the Lebesgue decomposition theorem and the Lebesgue density theorem, the Hilbert transform and other singular integral operators, the martingale convergence theorem, eigenvalue distributions, Lidskii's trace formula, Mercer's theorem and Littlewood's 4/3 theorem. It will broaden the knowledge of postgraduate and research students, and should also appeal to their teachers, and all who work in linear analysis.
650 0 _aInequalities (Mathematics)
650 0 _aFunctional analysis.
776 0 8 _iPrint version:
_z9780521876247
856 4 0 _uhttps://doi.org/10.1017/CBO9780511755217
999 _c519767
_d519765