【摘 要】
:
Let H(B) be the set of all harmonic functions f on the unit ball B of Rn.For 0 < p,q ≤ ∞ and a normal weight φ, the mixed norm space Hp,q,φ(B) consists of al
【机 构】
:
Department of mathematics,Department of Mathematics
【基金项目】
:
the NNSF of China;the NSF of Zhejiang Province;the Innovation Team Foundation of the Department of Education of Zhejiang Province
论文部分内容阅读
Let H(B) be the set of all harmonic functions f on the unit ball B of Rn.For 0 < p,q ≤ ∞ and a normal weight φ, the mixed norm space Hp,q,φ(B) consists of all functions f in H(B) for which the mixed norm ||·||p,q,φ < ∞. In this article, we obtain some characterizations in terms of radial, tangential, and partial derivative norms in Hp,q,φ(B).The parallel results for the Bloch-type space are also obtained. As an application, the analogous problems for polyharmonic functions are discussed.
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