We obtain boundedness in Morrey spaces of singular integral operators with Calderon-Zygmund type kernel of mixed homogeneity. These estimates are used for the study of the interior regularity of the solutions of linear elliptic/parabolic systems. The proved Poincare-type inequality permits to describe the Holder, Morrey, and BMO regularity of the lower-order derivatives of the solutions.
Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE's
SOFTOVA PALAGACHEVA, Lyoubomira
2008
Abstract
We obtain boundedness in Morrey spaces of singular integral operators with Calderon-Zygmund type kernel of mixed homogeneity. These estimates are used for the study of the interior regularity of the solutions of linear elliptic/parabolic systems. The proved Poincare-type inequality permits to describe the Holder, Morrey, and BMO regularity of the lower-order derivatives of the solutions.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
