Area integrals for Riesz measures on the Siegel upper half space of type II

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概要

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• The area integrals of harmonic functions on the Siegel upper half space of type II are important tools for studying Hardy spaces and boundary behavior of harmonic functions. In this paper we will extend the area integrals to subharmonic functions on the Siegel upper half space of type II, and prove their L<SUP>p</SUP>-estimates by the admissible maximal functions for all 0<p<∞. The extended area integrals are analogues of the area integrals which were introduced by T. McConell in the case of the Euclidean upper half space.

• 東北大学の論文

著者

• Arai Hitoshi

  Mathematical Institute Faculty Of Science Tohoku University

関連論文

• Area integrals for Riesz measures on the Siegel upper half space of type II
• Bounded projections onto holomorphic Hardy spaces on planar domains
• Boundary behavior of functions on complete manifolds of negative curvature

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