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Generalized derivatives and the radial growth of positive harmonic functions

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Publication:912239
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DOI10.1016/0022-247X(89)90048-6zbMath0698.30033MaRDI QIDQ912239

Robert D. Berman

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

generalized derivativesHausdorff measureradial growthpositive harmonic function


Mathematics Subject Classification ID

Cluster sets, prime ends, boundary behavior (30D40)


Related Items (1)

Pointwise Fatou theorem for generalized harmonic functions -- normal boundary values




Cites Work

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  • The sets of fixed radial limit value for inner functions
  • Moduli of continuity and generalized BCH sets
  • On radial zeros of Blaschke products
  • The Radial Behavior of Blaschke Products
  • NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF BOUNDARY VALUES OF THE MODULUS OF A FUNCTION THAT IS BOUNDED AND ANALYTIC IN A HALF-PLANE
  • Generalized Variation and Functions of Slow Growth
  • The Converse of the Fatou Theorem for Positive Harmonic Functions




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