Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bramanti, M.: Singular integrals in nonhomogeneous spaces: L 2 and L p continuity from Hölder estimates. Rev. Mat. Iberoam. 26(1), 347–366 (2010)
Christ, M.: A T(b) theorem with remarks on analytic capacity and the Cauchy integral. Colloq. Math. 60/61(2), 601–628 (1990)
Coifman, R.R., Weiss, G.: Analyse harmonique non-commutative sur certains espaces homogènes. In: Étude de certaines intégrales singulières. Lecture Notes in Mathematics, vol. 242. Springer, Berlin (1971)
David, G., Journé, J.-L., Semmes, S.: Opérateurs de Calderón-Zygmund, fonctions para-accretives et interpolation. Rev. Mat. Iberoam. 1(4), 1–56 (1985)
García-Cuerva, J., Gatto, A.E.: Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures. Publ. Mat. 49(2), 285–296 (2005)
Hytönen, T.: A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa. Publ. Mat. 54(2), 485–504 (2010)
Luukkainen, J., Saksman, E.: Every complete doubling metric space carries a doubling measure. Proc. Am. Math. Soc. 126(2), 531–534 (1998)
McIntosh, A., Meyer, Y.: Algèbres d’opérateurs définis par des intégrales singulières. C. R. Acad. Sci. Paris Sér. I Math. 301(8), 395–397 (1985)
Macías, R.A., Segovia, C.: Lipschitz functions on spaces of homogeneous type. Adv. Math. 33(3), 257–270 (1979)
Nazarov, F., Treil, S., Volberg, A.: Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces. Int. Math. Res. Not. 9, 463–487 (1998)
Nazarov, F., Treil, S., Volberg, A.: The Tb-theorem on non-homogeneous spaces. Acta Math. 190(2), 151–239 (2003)
Tchoundja, E.: Carleson measures for the generalized Bergman spaces via a T(1)-type theorem. Ark. Mat. 46(2), 377–406 (2008)
Volberg, A., Wick, B.D.: Bergman-type singular operators and the characterization of Carleson measures for Besov–Sobolev spaces on the complex ball. Am. J. Math. (in press). Preprint. arXiv:0910.1142
Verbitsky, I.E., Wheeden, R.L.: Weighted norm inequalities for integral operators. Trans. Am. Math. Soc. 350(8), 3371–3391 (1998)