Abstract
Let be a space of homogeneous type (here is a quasimetric and a measure). A function of modulus of continuity kind gives rise to approach regions at the boundary of , , where for a point , These are 'tangential' regions if . Weighted -estimates are proved for the corresponding maximal functions of integral operators. Applications of these estimates to potentials in and to multipliers of homogeneous expansions of holomorphic functions in the Hardy classes in the unit ball of are presented.
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