Interpolation inequalities in Besov spaces
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- by Shuji Machihara and Tohru Ozawa PDF
- Proc. Amer. Math. Soc. 131 (2003), 1553-1556 Request permission
Abstract:
In this paper we present an interpolation inequality in the homogeneous Besov spaces on $\mathbb {R}^n$, which reduces to a number of well-known inequalities in special cases.References
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Additional Information
- Shuji Machihara
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
- Address at time of publication: Department of Mathematics, Shimane University, Matsue, Shimane 690-8504, Japan
- Email: machihara@math.shimane-u.ac.jp
- Tohru Ozawa
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
- MR Author ID: 242556
- Received by editor(s): July 10, 2001
- Received by editor(s) in revised form: December 27, 2001
- Published electronically: September 19, 2002
- Communicated by: Andreas Seeger
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1553-1556
- MSC (2000): Primary 46B70, 46M35
- DOI: https://doi.org/10.1090/S0002-9939-02-06715-1
- MathSciNet review: 1949885
Dedicated: Dedicated to Professor Takaaki Nishida on the occasion of his sixtieth birthday