A+ CATEGORY SCIENTIFIC UNIT

Carleson measure and monogenic functions

Volume 180 / 2007

S. Bernstein, P. Cerejeiras Studia Mathematica 180 (2007), 11-25 MSC: Primary 30G35; Secondary 31B10, 30C40. DOI: 10.4064/sm180-1-2

Abstract

We present necessary and sufficient conditions for a measure to be a $p$-Carleson measure, based on the Poisson and Poisson–Szegő kernels of the $n$-dimensional unit ball.

Authors

  • S. BernsteinInstitute of Applied Analysis
    University of Mining and Technology
    D-09596 Freiberg, Germany
    e-mail
  • P. CerejeirasDepartamento de Matemática
    Universidade de Aveiro
    P-3810-159 Aveiro, Portugal
    e-mail

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