Parabolic function spaces with mixed norm

Author:
V. R. Gopala Rao

Journal:
Trans. Amer. Math. Soc. **246** (1978), 451-461

MSC:
Primary 46E35

DOI:
https://doi.org/10.1090/S0002-9947-1978-0515551-1

MathSciNet review:
515551

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Abstract | References | Similar Articles | Additional Information

Abstract: The spaces of parabolic Bessel potentials were introduced by B. F. Jones and R. J. Bagby. We prove a Sobolev-type imbedding theorem for (multinormed versions of ) when is a positive integer *k*, , . In particular this theorem holds for , since . We use the concepts of parabolic Riesz transforms and half-time derivatives introduced by us elsewhere.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1978-0515551-1

Keywords:
Parabolic Bessel potentials,
parabolic Riesz transforms,
half-derivative,
imbedding theorem

Article copyright:
© Copyright 1978
American Mathematical Society