Related papers: On the Hilbert Transform and $C^{1+\ze}$ Families …

In a prior work [Hilbert transform along smooth families of lines math.CA/0310345] the authors introduced a variant of the Kakeya maximal function associated with Lipschitz maps from the plane into the unit circle. In this paper, we improve…

The paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn by the author due to some error in the result

This paper has been withdrawn

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

We tried to show in this paper that CH implies: there is a homogeneous family of subset of omega which is maximal with respect to inclusion. The paper is currently "withdrawn", since a mistake has been discovered.

This paper was withdrawn as it may have appeared elsewhere, although in a different form.

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been withdrawn due to its publication

This note has been withdrawn.

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result.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.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn due to a error in Theorem 3.1.