Parabolic Function Spaces With Mixed Norm

DOI10.2307/1997986zbMath0412.46028OpenAlexW4234958320MaRDI QIDQ4200713

V. R. Gopala Rao

Publication date: 1978

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997986

zbMATH Keywords

Riesz transformsparabolic Bessel potentialsparabolic function spaces with mixed normSobolev-type imbedding theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (7)

The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials ⋮ Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative ⋮ A generalization of parabolic potentials associated to Laplace–Bessel differential operator and its behavior in the weighted Lebesque spaces ⋮ A generalization of parabolic Riesz and parabolic Bessel potentials ⋮ Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces ⋮ Stochastic differential equations with critical drifts ⋮ Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials.

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