Characterizations of the harmonic Bergman space on the ball

초록

In the harmonic Bergman space with the normal weight, we prove norm equivalences in terms of radial, gradient and invariant gradient norms. Using this, we give new characterizations in terms of Lipschitz type conditions with Euclidean, pseudo-hyperbolic and hyperbolic metrics on the ball. (C) 2008 Elsevier Inc. All rights reserved.

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