Singular Integrals and Potential Theory (II)

摘要

In this note I give an extension of the T1-Theorem of David and Journé. In this extension the standard estimates on the kernel are replaced by “average standard estimates” but the classical proof is essentially identical. I then use that extension to prove the L p -boundedness of some natural rough singular integrals. The applications of these singular integrals in Potential Theory has already been described in my previous paper in the area.