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, Dk; Softova, Lg. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 20:3(2004), pp. 263-637. [10.1023/B:POTA.0000010664.71807.f6]
Singular integral operators, Morrey spaces and fine regularity of solutions to PDE's
Palagachev, DK;
2004-01-01
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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