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Non-convolution type oscillatory singular integral on Hardy space HKp(Rn)

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Approximation Theory and its Applications

Abstract

The authors considered non-convolution type oscillatory singular integral operators with real-analytic phases. A uniform boundedness from HKp to Hp of such operators is established. The result is false for general C∞ phases.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, The People’s Republic of China

    Chen Wengu & Yang Dachun

Authors
  1. Chen Wengu
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  2. Yang Dachun
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Additional information

Research was supported by the NNSF and the NECF of China.

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Wengu, C., Dachun, Y. Non-convolution type oscillatory singular integral on Hardy space HKp(Rn). Approx. Theory & its Appl. 13, 27–36 (1997). https://doi.org/10.1007/BF02836257

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  • DOI: https://doi.org/10.1007/BF02836257

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