East Asian mathematical journal

  • 제31권5호
  • /
  • Pages.635-652
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  • 2015
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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WEIGHTED NORM ESTIMATE FOR THE GENERAL HAAR SHIFT OPERATORS VIA ITERATING BELLMAN FUNCTION METHOD

  • CHUNG, DAEWON (FACULTY OF BASIC SCIENCES, MATHEMATICS MAJOR, KEIMYUNG UNIVERSITY)
  • 투고 : 2015.02.26
  • 심사 : 2015.06.23
  • 발행 : 2015.09.30
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초록

It is shown that for a general Haar shift operator, and a weight in the $A_2$ weight class, we establish the weighted norm estimate which linearly depends on $A_2$-characteristic $[w]_{A_2}$. Although the result is now well known, we introduce the new method, which is called the iterated Bellman function method, to provide the estimate.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

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