000			03290nam a22005055i 4500
001			978-0-387-68417-8
003			DE-He213
005			20250710084006.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387684178 _a99780387684178
024	7		_a10.1007/978-0-387-68417-8 _2doi
082	0	4	_a516.36 _223
100	1		_aAgarwal, Ravi P. _eauthor.
245	1	0	_aInequalities for Differential Forms _h[recurso electrónico] / _cby Ravi P. Agarwal, Shusen Ding, Craig Nolder.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aHardy-Littlewood inequalities -- Norm comparison theorems -- Poincaré-type inequalities -- Caccioppoli inequalities -- Imbedding theorems -- Reverse Hölder inequalities -- Inequalities for operators -- Estimates for Jacobians -- Lipschitz and norms.
520			_aDuring the recent years, differential forms have played an important role in many fields. In particular, the forms satisfying the A-harmonic equations, have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds. This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms. The presentation concentrates on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are also covered. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous text requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aINTEGRAL TRANSFORMS.
650		0	_aOPERATOR THEORY.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650	1	4	_aMATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aINTEGRAL TRANSFORMS, OPERATIONAL CALCULUS.
650	2	4	_aANALYSIS.
650	2	4	_aOPERATOR THEORY.
700	1		_aDing, Shusen. _eauthor.
700	1		_aNolder, Craig. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387360348
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-68417-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57966 _d57966