Bloom’s inequality: commutators in a two-weight setting

Archiv der Mathematik

Volumn 106, Issue 1, 2016, Pages 53-63

  Holmes, Irina ^a   Lacey, Michael T ^a   Wick, Brett D ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

BMO; Calder n Zygmund operators; Commutators; Haar multiplier; Paraproducts; Weights

Indexed keywords

EID: 84955645528     PISSN: 0003889X     EISSN: 14208938     Source Type: Journal    
DOI: 10.1007/s00013-015-0840-8     Document Type: Article

References (6)

1. Bloom S.: A commutator theorem and weighted BMO. Trans. Amer. Math. Soc. 292, 103–122 (1985)
2. Coifman R. R., Rochberg R., Weiss G.: Factorization theorems for Hardy spaces in several variables. Ann. of Math. 103(2), 611–635 (1976)
3. Petermichl S., Pott S.: An estimate for weighted Hilbert transform via square functions. Trans. Amer. Math. Soc. 354, 1699–1703 (2002) (electronic)
4. p characteristic. Amer. J. Math. 129, 1355–1375 (2007)
5. Petermichl S.: Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol. C. R. Acad. Sci. Paris Sér. I Math. 330, 455–460 (2000)
6. Wittwer J.: A sharp estimate on the norm of the martingale transform. Math. Res. Lett. 7, 1–12 (2000)