000			03519nam a22005655i 4500
001			978-3-642-18429-1
003			DE-He213
005			20190213151101.0
007			cr nn 008mamaa
008			110317s2011 gw | s |||| 0|eng d
020			_a9783642184291 _9978-3-642-18429-1
024	7		_a10.1007/978-3-642-18429-1 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
072		7	_aPBK _2thema
082	0	4	_a515 _223
100	1		_aLang, Jan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aEigenvalues, Embeddings and Generalised Trigonometric Functions _h[electronic resource] / _cby Jan Lang, David Edmunds.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXI, 220 p. 10 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v2016
505	0		_a1 Basic material -- 2 Trigonometric generalisations -- 3 The Laplacian and some natural variants -- 4 Hardy operators -- 5 s-Numbers and generalised trigonometric functions -- 6 Estimates of s-numbers of weighted Hardy operators -- 7 More refined estimates -- 8 A non-linear integral system -- 9 Hardy operators on variable exponent spaces.
520			_aThe main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
650		0	_aGlobal analysis (Mathematics).
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aFunctions, special.
650		0	_aDifferential Equations.
650	1	4	_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007
650	2	4	_aApproximations and Expansions. _0http://scigraph.springernature.com/things/product-market-codes/M12023
650	2	4	_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066
650	2	4	_aSpecial Functions. _0http://scigraph.springernature.com/things/product-market-codes/M1221X
650	2	4	_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147
650	2	4	_aMathematics Education. _0http://scigraph.springernature.com/things/product-market-codes/O25000
700	1		_aEdmunds, David. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642182679
776	0	8	_iPrinted edition: _z9783642184307
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2016
856	4	0	_uhttps://doi.org/10.1007/978-3-642-18429-1
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c9460 _d9460