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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 635 - 652 (18page)
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초록· 키워드
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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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참고문헌 (12)
참고문헌 신청
C. Perez / 2010 / On A2 conjecture and corona decomposition of weights arXiv:1006.2630
D. Chung / 2010 / Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces / Indiana Univ. Math. J 6
D. Chung / 2011 / Weighted inequalities for mutivariable dyadic paraproduct / Publ. Mat. textbf 55 : 475 ~ 499
F. Nazarov / 1999 / The Bellman functions and two-weight inequalities for Haar multipliers / J. Amer. Math. Soc 12 : 909 ~ 928
F. Nazarov / 2008 / Two weight inequlities for individul Haar multi-pliers and other well localized operators / Math Res. Lett 15 (3) : 583 ~ 597
D. Chung / 2010 / Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces / Indiana Univ. Math. J 6
D. Chung / 2011 / Weighted inequalities for mutivariable dyadic paraproduct / Publ. Mat. textbf 55 : 475 ~ 499
F. Nazarov / 1999 / The Bellman functions and two-weight inequalities for Haar multipliers / J. Amer. Math. Soc 12 : 909 ~ 928
F. Nazarov / 2008 / Two weight inequlities for individul Haar multi-pliers and other well localized operators / Math Res. Lett 15 (3) : 583 ~ 597
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