Hardy Operators On Euclidean Spaces And Related Topics [Kõva köide]

The Hardy Inequality Is Of Fundamental Importance In Many Branches Of Mathematical Analysis And Mathematical Physics, And Have Been Intensively Studied Since Its Discovery. This Volume Presents New Properties Of The Higher Dimensional Hardy Operators Obtained By The Authors And Their Collaborators In The Recent Decade. More Precisely, Its Focus Is On N-Dimensional Hardy Operators, Based On The Spherical Average Form. The Key To This Monograph Is That The Average Hardy Integral Is Generally Smaller Than The Hardy–Littlewood Maximal Function, Which Leads To, On The One Hand, The Operator Norm Of The Hardy Operator Itself Being Smaller Than The Latter. On The Other Hand, The Former Characterizing The Weight Function Class Or Function Space Is Greater Than The Latter. This Is Also The Main Motivation Of This Monograph.