Related papers: Sharp estimates for the commutator of the Hilbert …

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This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

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This paper has been withdrawn due to an error, and no further revisions will be made.

This paper has been withdrawn by the author due to a crucial error in the formulation.

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This paper has been withdrawn by the author, due to an error in relation (11).

This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

This paper has been withdrawn due to a crucial theoretical and experimental error.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

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We prove that the operator norm on weighted Lebesgue space L2(w) of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the A2-characteristic of the weight, as opposed to the linear…

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

This article has been withdrawn due to an error in a proof of the main result.