A Carleson Measure Theorem for Weighted Bergman Spaces

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概要

• 論文の詳細を見る

• The main purpose of this note is to generalize a theorem of W. W. Hastings [1] : let μ be a finite, positive measure on D, the unit disc in ¢, and let σ be a Lebesgue measure on D. For 1≤p≤q<∞, α>-1 and β≤0,a necessary and sufficient condition on μ is given in order that {⎰_D(1-|z|)^βq/pfp(z)dμ(z)}^1/q≤{⎰-D(1-|z|)^αfp(z)dσ(z)}^1/p for every positive subharmonic function f(z) on D.

• 東海大学の論文
• 1983-03-31

著者

• Ohya Fumimasa

  Foreign Student Education Center, Tokai University

• Ohya Fumimasa

  Foreign Student Education Center Tokai University

関連論文

• Coefficient Multipliers of Ap, s, α Spaces
• A Carleson Measure Theorem for Weighted Bergman Spaces

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