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Singular Integral Operators,Morrey Spaces and Fine Regularity of Solutions to PDE's
Authors:Palagachev  Dian K  Softova  Lubomira G
Institution:(1) Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona, 4, 70125 Bari, Italy (e-mail;(2) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, lsquoAcad. G. Bonchevrsquo Str., bl. 8, 1113 Sofia, Bulgaria (e-mail
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 Hölder) regularity of strong solutions to higher-order elliptic and parabolic equations with VMO coefficients.
Keywords:a'priori estimates  PDE's with discontinuous coefficients  singular integral operators  fine regularity
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