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<p>In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) spaces. This provides a very satisfactory non-commutative analogue of the beautiful result due to Fabes, Johnson and Neri [Indiana Univ Math J 25:159–170 (1976)].</p>

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A representation of matrix-valued harmonic functions by the poisson integral of non-commutative BMO functions

  • 期刊论文

  • 发表日期：

    2025年7月23日

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  • Cheng Chen,
  • Guixiang Hong,
  • Wenhua Wang

摘要

In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) spaces. This provides a very satisfactory non-commutative analogue of the beautiful result due to Fabes, Johnson and Neri [Indiana Univ Math J 25:159–170 (1976)].