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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 103 - 113 (11page)
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We provide quantitative two weight estimates for the commu- tator of the Hilbert transform under certain conditions on a pair of weights (u,v) and b in Carlu,v. In [10] and [11], Bloom’s inequality is shown in a modern setting, and the boundedness of the commutators is provided by assuming both weights u,v are A2 and b ∈ BMOρ. In the present paper we show that the condition on b can be replaced by Carlu,v by using the joint Ad2 condition.
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참고문헌 (16)
참고문헌 신청
D. Chung / 2011 / Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebsgue spaces / Indiana Univ. Math. Jour
D. Chung / 2012 / Sharp bounds for general comutators on weighted Lebesgue spaces / Trans. Amer. Math. Soc 364 (3) : 1163 ~ 1177
F. Nazarov / 1992 / The Bellman functions and the two-weight inequalities for Haar Multipliers / Journal of the AMS 12 : 909 ~ 928
I. Holmes / 2016 / Blooms inequality: commutators in a two-weight setting / Arch. Math 106 (1) : 53 ~ 63
Irina Holmes / 2017 / Commutators in the two-weight setting / Mathematische Annalen 367 (1-2) : 51 ~ 80
D. Chung / 2012 / Sharp bounds for general comutators on weighted Lebesgue spaces / Trans. Amer. Math. Soc 364 (3) : 1163 ~ 1177
F. Nazarov / 1992 / The Bellman functions and the two-weight inequalities for Haar Multipliers / Journal of the AMS 12 : 909 ~ 928
I. Holmes / 2016 / Blooms inequality: commutators in a two-weight setting / Arch. Math 106 (1) : 53 ~ 63
Irina Holmes / 2017 / Commutators in the two-weight setting / Mathematische Annalen 367 (1-2) : 51 ~ 80
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