We consider functions , where is a smooth bounded domain, and is an integer. For all , , such that , we prove that with
where is a smooth positive function which coincides with dist near , and denotes any partial differential operator of order .
Cite this article
Juan Dávila, Hernán Castro, Hui Wang, A Hardy type inequality for functions. J. Eur. Math. Soc. 15 (2013), no. 1, pp. 145–155DOI 10.4171/JEMS/357