On some fractional order hardy inequalities

Abstract

<p/> <p>Weighted inequalities for fractional derivatives ( <inline-formula><graphic file="1029-242X-1997-787248-i1.gif"/></inline-formula> fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.</p