A note on Sobolev algebras
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- by Robert S. Strichartz PDF
- Proc. Amer. Math. Soc. 29 (1971), 205-207 Request permission
Abstract:
Sufficient conditions are given for the Sobolev space $L_w^p = \{ f \in {L^p}({E^n}):{\mathfrak {F}^{ - 1}}(\hat f(\xi )w(\xi )) \in {L^p}\}$ to form an algebra under pointwise multiplication, when $1 \leqq p \leqq 2$. The conditions are verified for some examples.References
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- Robert S. Strichartz, Multipliers on fractional Sobolev spaces, J. Math. Mech. 16 (1967), 1031–1060. MR 0215084
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 205-207
- MSC: Primary 46.38
- DOI: https://doi.org/10.1090/S0002-9939-1971-0275148-7
- MathSciNet review: 0275148