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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 377 - 387 (11page)
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In this paper, we provide detailed proof of the Sawyer type characterization of the two weight estimate for the dyadic paraproduct. Although the dyadic paraproduct is known to be a well localized opera- tors and the testing conditions obtained from checking boundedness of the given localized operator on a collection of test functions are provided by many authors. The main purpose of this paper is to present the neces- sary and sufficient conditions on the weights to ensure boundedness of the dyadic paraproduct directly.
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참고문헌 (8)
참고문헌 신청
P. Benge / 2019 / A two-weight inequality for essentially well localized operators with general measures / J. Math. Anal. Appl 479(2):1506~1518
O. Beznosova / 2008 / Linear bound for the dyadic paraproduct on weighted Lebesgue space L2(w) / J. Func. Anal 255:994~1007
O. Beznosova / 2017 / Harmonic analysis, partial differential equations, complex analysis, Banach space, and operator theory. Vol 2 / Springer :135~169
D. Chung / 2012 / Sharp bounds for general comutators on weighted Lebesgue spaces / Trans. Amer. Math. Soc 364(3):1163~1177
T. Hytonen / 2012 / The sharp weighted bound for general Calderon-Zygmund Operators / Ann. of Math. (2) 175(3):1473~1506
O. Beznosova / 2008 / Linear bound for the dyadic paraproduct on weighted Lebesgue space L2(w) / J. Func. Anal 255:994~1007
O. Beznosova / 2017 / Harmonic analysis, partial differential equations, complex analysis, Banach space, and operator theory. Vol 2 / Springer :135~169
D. Chung / 2012 / Sharp bounds for general comutators on weighted Lebesgue spaces / Trans. Amer. Math. Soc 364(3):1163~1177
T. Hytonen / 2012 / The sharp weighted bound for general Calderon-Zygmund Operators / Ann. of Math. (2) 175(3):1473~1506
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