目次

Chapter. 1. Introduction and main resultsChapter. 2. Preliminaries on function spacesChapter. 3. Preliminaries on operator theoryChapter. 4. Hp - Hq bounded familiesChapter. 5. Conservation propertiesChapter. 6. The four critical numbersChapter. 7. Riesz transform estimates: Part IChapter. 8. Operator-adapted spacesChapter. 9. Identification of adapted Hardy spacesChapter. 10. A digression: H -calculus and analyticityChapter. 11. Riesz transform estimates: Part IIChapter. 12. Critical numbers for Poisson and heat semigroupsChapter. 13. Lp boundedness of the Hodge projectorChapter. 14. Critical numbers and kernel boundsChapter. 15. Comparison with the Auscher–Stahlhut intervalChapter. 16. Basic properties of weak solutionsChapter. 17. Existence in Hp Dirichlet and Regularity problemsChapter. 18. Existence in the Dirichlet problems with dataChapter. 19. Existence in Dirichlet problems with fractional regularity dataChapter. 20. Single layer operators for L and estimates for L-1Chapter. 21. Uniqueness in regularity and Dirichlet problemsChapter. 22. The Neumann problemAppendix A. Non-tangential maximal functions and tracesAppendix B. The Lp-realization of a sectorial operator in L2ReferencesIndex