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Generalized Morrey Regularity for Parabolic Equations with Discontinuous Data
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 1 / February 2015
- Published online by Cambridge University Press:
- 10 December 2014, pp. 199-218
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We prove continuity in generalized parabolic Morrey spaces
of sublinear operators generated by the parabolic Calderón—Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. As a consequence, we obtain a global -regularity result for the Cauchy—Dirichlet problem for linear uniformly parabolic equations with vanishing mean oscillation (VMO) coefficients.
of sublinear operators generated by the parabolic Calderón—Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. As a consequence, we obtain a global FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 80 / Issue 2 / October 2009
- Published online by Cambridge University Press:
- 29 June 2009, pp. 324-334
- Print publication:
- October 2009
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