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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The $ K$-functional for $ H\sp p$ and BMO in the poly-disk


Author: Björn Jawerth
Journal: Proc. Amer. Math. Soc. 98 (1986), 232-238
MSC: Primary 42B30; Secondary 46E10, 46M35
MathSciNet review: 854025
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Abstract: Peetre's $ K$-functional for the Hardy space $ {H^p}$, $ 0 < p < + \infty $, and the space BMO of functions of bounded mean oscillation is explicitly characterized in the case of a product of upper half-spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0854025-5
PII: S 0002-9939(1986)0854025-5
Keywords: $ {H^p}$-space, atomic decomposition, $ K$-functional, poly-disk
Article copyright: © Copyright 1986 American Mathematical Society