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CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE

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It is well-known that the BMO norm is equivalent to the Garsia norm. In this paper, we characterize mean-Lipschitz spaces by using Garsia-type norms on the upper half space R^(n+1)_+ .

Abstract

It is well-known that the BMO norm is equivalent to the Garsia norm. In this paper, we characterize mean-Lipschitz spaces by using Garsia-type norms on the upper half space R^(n+1)_+ .

참고문헌 (4)

  1. Sh. Axler, "Putman's theorem, Alexander's spectral area estimate and VMO", Math. Ann, 271, pp.161~183 (1985)
  2. J. B. Garnett, "Bounded Analytic Functions" (1981), Academic Press
  3. A. Garsia, "A presentation of Fe erman's theorem" (1971), Unpublished notes
  4. E. M. Stein, "Singular Integral and Di erentiablity Properties of Functions" (1970), Princeton Univ. Press

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