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100   $a20150417h20072007  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOn necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates /$fPascal Auscher
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007.
210  4$dİ2007
215   $a1 online resource (102 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 186, Number 871
300   $a"Volume 186, Number 871 (first of five numbers)."
311   $a0-8218-3941-1 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Acknowledgements""; ""Introduction""; ""Notation""; ""Chapter 1. Beyond Caldero'n-Zygmund operators""; ""Chapter 2. Basic L[sup(2)] theory for elliptic operators""; ""2.1. Definition""; ""2.2. Holomorphic functional calculus on L[sup(2)]""; ""2.3. L[sup(2)] off-diagonal estimates""; ""2.4. Square root""; ""2.5. The conservation property""; ""Chapter 3. L[sup(P)] theory for the semigroup""; ""3.1. Hypercontr activity and uniform boundedness""; ""3.2. W[sup(1,p)] elliptic estimates and hypercontr activity""; ""3.3. Gradient estimates""; ""3.4. Summary""
327   $a""3.5. Sharpness issues""""3.6. Analytic extension""; ""Chapter 4. L[sup(p)]  theory for square roots""; ""4.1. Riesz transforms on L[sup(p)]""; ""4.2. Reverse inequalities""; ""4.3. Invertibility""; ""4.4. Applications""; ""4.5. Riesz transforms and Hodge decomposition""; ""Chapter 5. Riesz transforms and functional calculi""; ""5.1. Blunck & Kunstmann's theorem""; ""5.2. Hardy-Littlewood-Sobolev estimates""; ""5.3. The Hardy-Littlewood-Sobolev-Kato diagram""; ""5.4. More on the Kato diagram""; ""Chapter 6. Square function estimates""
327   $a""6.1. Necessary and sufficient conditions for boundedness of vertical square functions""""6.2. On inequalities of Stein and Fefferman for non-tangential square functions""; ""Chapter 7. Miscellani""; ""7.1. Local theory""; ""7.2. Higher order operators and systems""; ""Appendix A. Calderon-Zygmund decomposition for Sobolev functions""; ""Appendix. Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 186, Number 871.
606   $aSingular integrals
606   $aLittlewood-Paley theory
606   $aCaldero?n-Zygmund operator
606   $aElliptic operators
606   $aSemigroups
615  0$aSingular integrals.
615  0$aLittlewood-Paley theory.
615  0$aCaldero?n-Zygmund operator.
615  0$aElliptic operators.
615  0$aSemigroups.
676   $a515/.23
686   $a31.46$2bcl
700   $aAuscher$b Pascal$0282068
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910828649203321
996   $aOn necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates$93958919
997   $aUNINA