Weak type inequality for certain maximal functions on spaces of homogeneous type

Jae, Yoo-Yoon (Department of Mathematics Teachers College Kyungpook University ) ;
Park, En-Hee (Department of Mathematics Teachers College Kyungpook University )

Classical Fatous' theorem asserts that the non-tangential limit of the Poisson integral of an integrals function on $[\pi, \pi]$ exists a.e.