»ã±¨±êÌâ (Title)£ºÆæ¹Ö Caldero ?n--Zygmund Ëã×Ó

»ã±¨ÈË (Speaker)£ºÀΰ ½ÌÊÚ£¨Ìì½ò´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê3ÔÂ20ÈÕ£¨ÖÜÒ»£© 14:00-15:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£ºÕÔ·¢ÓÑ ½ÌÊÚ

Ö÷°ì²¿ÃÅ£ºÀíѧԺ Êýѧϵ

»ã±¨ÌáÒª£ºIn this talk, I will introduce a class of singular integral operators with kernels that are more singular than standard Caldero ?n--Zygmund kernels, but less singular than bi-parameter product Caldero ?n--Zygmund kernels. These kernels arise as restrictions to two dimensions of certain three-dimensional kernels adapted to so-called Zygmund dilations, which is part of our motivation for studying these objects. We show that such kernels can, in many ways, be seen as part of the extended realm of standard kernels by proving that they satisfy both a T1 theorem and commutator estimates in a form reminiscent of the corresponding results for standard Caldero ?n--Zygmund kernels.