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A CHARACTERIZATION FOR BESOV SPACE AND BLOCH SPACE OF INVARIANT HARMONIC FUNCTION IN THE UNIT BALL
Jinkee Lee (Korea)
Received September 19, 2007
Abstract
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On the unit ball B
of
we obtain a norm equivalence of
space for an invariant harmonic
function. Using the quantity for the
norm, we give characterizations of
the invariant harmonic Besov space and Bloch space, which are extending the
known results for the holomorphic case in the unit disk or the unit ball. |
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Keywords and phrases:
invariant harmonic, Besov space, Bloch space. |
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