For 1≤p≤q<∞1≤p≤q<∞, we define the Morrey space Mpq(Rn)Mqp(Rn) to be the set of all pp-locally integrable functions on RnRn such that
where the supremum is taken over all balls B=B(a,r)B=B(a,r) in RnRn. By using the distribution function instead of the integral, one may also define the weak Morrey space wMpq(Rn)wMqp(Rn). In this talk, I would like to discuss about the inclusion relation among Morrey spaces, as well as between Morrey spaces and weak Morrey spaces.
Institut Teknologi Bandung, Indonesia
Tue, 10/10/2017 - 12:00pm to 1:00pm
RC-4082, The Red Centre, UNSW