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Singular Integral Operators, Morrey Spaces and Fine Regularity of Solutions to PDE's

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona, 4, 70125, Bari, Italy (e-mail

    Dian K. Palagachev

  2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 'Acad. G. Bonchev' Str., bl. 8, 1113, Sofia, Bulgaria (e-mail

    Lubomira G. Softova

Authors
  1. Dian K. Palagachev
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  2. Lubomira G. Softova
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Palagachev, D.K., Softova, L.G. Singular Integral Operators, Morrey Spaces and Fine Regularity of Solutions to PDE's. Potential Analysis 20, 237–263 (2004). https://doi.org/10.1023/B:POTA.0000010664.71807.f6

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