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Interpolation inequalities in Besov spaces
Author(s):
Shuji
Machihara;
Tohru
Ozawa
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1553-1556.
MSC (2000):
Primary 46B70, 46M35
Posted:
September 19, 2002
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Abstract:
In this paper we present an interpolation inequality in the homogeneous Besov spaces on  , 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
DOI:
10.1090/S0002-9939-02-06715-1
PII:
S 0002-9939(02)06715-1
Received by editor(s):
July 10, 2001
Received by editor(s) in revised form:
December 27, 2001
Posted:
September 19, 2002
Dedicated:
Dedicated to Professor Takaaki Nishida on the occasion of his sixtieth birthday
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2002,
American Mathematical Society
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