We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.
We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups / Andrea Pascucci; Stefano Pagliarani; Michele Pignotti. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 435:2(2016), pp. 1054-1087. [10.1016/j.jmaa.2015.10.080]
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
PASCUCCI, ANDREA;PIGNOTTI, MICHELE;PAGLIARANI, STEFANO
2016
Abstract
We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
