»ã±¨±êÌâ (Title)£ºC_pȨÓëCoifman-Fefferman²»µÈʽ

»ã±¨ÈË (Speaker)£ºÀΰ ×êÑÐÔ±£¨Ìì½ò´óѧ£©

»ã±¨¹¦·ò (Time)£º2021Äê11ÔÂ15ÈÕ(ÖÜÒ») 14:00-16:30

»ã±¨µØÖ· (Place)£ºÏßÉÏÌÚѶ»áÒ飬»áÒé ID£º346 306 079

Ô¼ÇëÈË(Inviter)£ºÕÔ·¢ÓÑ

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»ã±¨ÌáÒª£ºIn this talk, we introduce the $C_p$ weighted theory and its connection with the Muckenhoupt¡¯s conjecture. The conjecture is still open, but we provide a counterexample which shows that $C_p$ weights do not enjoy self-improvement property in any dimension. This reveals that a classical result by Sawyer is not enough to conclude the conjecture. Moreover, we provide a new method to prove Coifman-Fefferman inequalities which does not rely on the good-lambda type inequalities. In particular, we are able to prove the Coifman-Fefferman inequalities for the rough homogeneous singular integrals involving $C_p$ weights.