Abstract
Classes Λδ of functions of finite λ-type δ-subharmonic in ℝm are investigated. A membership criterion that defines when a function belongs to the class Γδ expressed in terms of its integral q-means is established. Classes of entirely regular growth of functions that are δ-subharmonic in ℝm are introduced and the behavior of these functions at infinity and the distribution of Riesz-associated measures are studied.
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