Boundary Behavior of Poisson Integrals
The principal result of the present chapter is Korányi’s Theorem 5.4.5—the fact that certain maximal functions associated to invariant Poisson integrals are of weak type (1, 1). The existence of what we call “K-limits” at almost all points of S follows easily from this.
KeywordsPositive Measure Maximal Function Complex Measure Weak Type Boundary Behavior
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