Hendra Gunawan
Abstract:
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
∥f∥Mpq:=supB⊂Rn|B|1q−1p(∫B|f(y)|dy)1p<∞,‖f‖Mqp:=supB⊂Rn|B|1q−1p(∫B|f(y)|dy)1p<∞,
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.
Speaker
Research Area
Affiliation
Institut Teknologi Bandung, Indonesia
Date
Tue, 10/10/2017 - 12:00pm to 1:00pm
Venue
RC-4082, The Red Centre, UNSW