Resumen de Vector valued T(1) Theorem and Littlewood-Paley theory on spaces of homogeneous type.

Pablo Sebastián Viola

• Singular integral operators associated to kernels valued on Hilbert spaces are studied in the setting of spaces of homogeneous type. By following the work of David and Journé (Ann. of Math. (2) 120 (1984), no. 2, 371-397), a T1-Theorem is obtained in this context. This result is applied to prove a Littlewood-Paley estimate.