Harmonic Bergman Spaces

Abstract

Throughout this chapter, p denotes a number satisfying 1 ≤ p < ∞. The Bergman space b ^p(Ω) is the set of harmonic functions u on Ω such that

$${\left\| u \right\|_p} = {\left( {\int_\Omega {{{\left| u \right|}^p}dV} } \right)^{1/p}} < \infty $$

.