East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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TWO WEIGHT ESTIMATE FOR THE PARAPRODUCT IN THE SPACE OF HOMOGENEOUS TYPE

  • Chung, Daewon (Faculty of Basic Sciences, Mathematics Major, Keimyung University)
  • Received : 2019.04.04
  • Accepted : 2019.05.01
  • Published : 2019.05.31
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Abstract

In this paper, we provide sufficient conditions of a pair of weights (u, v) and a function b so that the dyadic paraproduct is bounded from $L^2_u(X)$ into $L^2_v(X)$, where X is a space of homegeneous type. In order to prove the main result we use the honest dyadic system introduced in [10].

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References

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