Boundedness in Morrey spaces is studied for singular integral operators with kernels of mixed homogeneity and their commutators with multiplication by a BMO-function. The results are applied in obtaining fine ( Morrey and Holder) regularity of strong solutions to higher-order elliptic and parabolic equations with VMO coefficients.
Singular integral operators, Morrey spaces and fine regularity of solutions to PDE's
SOFTOVA PALAGACHEVA, Lyoubomira
2004
Abstract
Boundedness in Morrey spaces is studied for singular integral operators with kernels of mixed homogeneity and their commutators with multiplication by a BMO-function. The results are applied in obtaining fine ( Morrey and Holder) regularity of strong solutions to higher-order elliptic and parabolic equations with VMO coefficients.File in questo prodotto:
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