Global regularity in parabolic weighted Orlicz-Morrey spaces of solutions to parabolic equations with \(VMO\) coefficients (Q6618755)
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scientific article; zbMATH DE number 7926207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global regularity in parabolic weighted Orlicz-Morrey spaces of solutions to parabolic equations with \(VMO\) coefficients |
scientific article; zbMATH DE number 7926207 |
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Global regularity in parabolic weighted Orlicz-Morrey spaces of solutions to parabolic equations with \(VMO\) coefficients (English)
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15 October 2024
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The author presents foundational inequalities in Orlicz spaces, focusing on the interplay between Orlicz norms, conjugate Young functions, and maximal functions. Particular attention is given to Hölder's inequality in Orlicz spaces, with special cases where one function is constant. The role of the Hardy-Littlewood maximal operator is examined in the context of Orlicz norms, addressing its boundedness and implications for norm estimation. Some applications are studied too.
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parabolic generalized weighted Orlicz-Morrey spaces
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parabolic Calderón-Zygmund integrals
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parabolic nonsingular integral
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commutator
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VMO
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parabolic equations
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Cauchy-Dirichlet problem
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