| 000 | 03476nam a22005415i 4500 | ||
|---|---|---|---|
| 003 | DE-He213 | ||
| 005 | 20191011021402.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | 6 | 4 |
_a9780387684178 _9978-0-387-68417-8 |
| 024 | 8 | 7 |
_a10.1007/978-0-387-68417-8 _2doi |
| 050 | 8 | 4 | _aQA641-670 |
| 072 | 8 | 7 |
_aPBMP _2bicssc |
| 072 | 8 | 7 |
_aMAT012030 _2bisacsh |
| 082 |
_a516.36 _223 |
||
| 100 | 8 | 1 |
_aAgarwal, Ravi P. _eauthor. _922488 |
| 245 | 9 | 7 |
_aInequalities for Differential Forms _h[electronic resource] / _cby Ravi P. Agarwal, Shusen Ding, Craig Nolder. |
| 001 | 000046118 | ||
| 300 | 6 | 4 |
_aXVI, 387 p. _bonline resource. |
| 505 | 8 | 0 | _aHardyLittlewood inequalities -- Norm comparison theorems -- PoincarȨ-type inequalities -- Caccioppoli inequalities -- Imbedding theorems -- Reverse Hȵlder inequalities -- Inequalities for operators -- Estimates for Jacobians -- Lipschitz and norms. |
| 520 | 6 | 4 | _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 | 8 | 0 |
_aMathematics. _98571 |
| 650 | 8 | 0 |
_aGlobal analysis (Mathematics). _910011 |
| 650 | 8 | 0 |
_aIntegral Transforms. _912003 |
| 650 | 8 | 0 |
_aOperator theory. _922489 |
| 650 | 8 | 0 |
_aDifferential equations, partial. _99614 |
| 650 | 8 | 0 |
_aGlobal differential geometry. _99530 |
| 650 |
_aMathematics. _98571 |
||
| 650 |
_aDifferential Geometry. _99532 |
||
| 650 |
_aPartial Differential Equations. _99616 |
||
| 650 |
_aIntegral Transforms, Operational Calculus. _912005 |
||
| 650 |
_aAnalysis. _910013 |
||
| 650 |
_aOperator Theory. _922490 |
||
| 700 | 8 | 1 |
_aDing, Shusen. _eauthor. _922491 |
| 700 | 8 | 1 |
_aNolder, Craig. _eauthor. _922492 |
| 710 | 8 | 2 |
_aSpringerLink (Online service) _922493 |
| 773 | 8 | 0 | _tSpringer eBooks |
| 776 |
_iPrinted edition: _z9780387360348 |
||
| 856 |
_uhttp://dx.doi.org/10.1007/978-0-387-68417-8 _zde clik aquí para ver el libro electrónico |
||
| 264 | 8 | 1 |
_aNew York, NY : _bSpringer New York, _c2009. |
| 336 | 6 | 4 |
_atext _btxt _2rdacontent |
| 337 | 6 | 4 |
_acomputer _bc _2rdamedia |
| 338 | 6 | 4 |
_aonline resource _bcr _2rdacarrier |
| 347 | 6 | 4 |
_atext file _bPDF _2rda |
| 516 | 6 | 4 | _aZDB-2-SMA |
| 999 |
_c45847 _d45847 |
||
| 942 | _c05 | ||