q函数的几何描述（肖杰的书）

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1、ToXianliandSaContentsPrefaceix1Preliminaries11.1Background...............................11.2LogarithmicConformalMappings...................71.3ConformalDomainsandSuperpositions...............121.4DescriptionsviaHarmonicMajorants................161.5Regularityf

2、ortheEuler–LagrangeEquation.............191.6Notes..................................222PoissonversusBerezinwithGeneralizations252.1BoundaryValueandBrownianMotion................252.2Derivative-freeModuleviaPoissonExtension............292.3Derivative-freeModulev

3、iaBerezinTransformation.........322.4MixtureofDerivativeandQuotient..................352.5DirichletDoubleIntegralwithoutDerivative.............402.6Notes..................................453Isomorphism,DecompositionandDiscreteness473.1CarlesonMeasuresunderanInt

4、egralOperator...........473.2IsomorphismtoaHolomorphicMorreySpace............523.3DecompositionviaBergmanStyleKernels..............573.4DiscretenessbyDerivatives......................643.5CharacterizationinTermsofaConjugatePair...........673.6Notes.............

5、.....................714InvariantPredualitythroughHausdorffCapacity734.1NonlinearIntegralsandMaximalOperators.............734.2AdamsTypeDualities.........................814.3QuadraticTentSpaces.........................844.4PredualsunderInvariantPairing.........

6、..........894.5InvariantDualsofVanishingClasses.................96viiiContents4.6Notes..................................1035CauchyPairingwithExpressionsandExtremities1075.1BackgroundonCauchyPairing....................1075.2CauchyDualitybyDotProduct.............

7、......1135.3Atom-likeRepresentations.......................1185.4ExtremePointsofUnitBalls.....................1235.5Notes..................................1336AsSymbolsofHankelandVolterraOperators1356.1HankelandVolterrafromSmalltoLargeSpaces..........1356.2Carl

8、esonEmbeddingsforDirichletSpaces..............1386.3MoreonCarlesonEmbeddingsforDirichletSpaces.........1446.4HankelandVolterraonDirichletSpaces...............1506.5Notes....