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
Palagachev, Dian;SOFTOVA, 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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