### 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

Hendra Gunawan

Research Area
Affiliation

Institut Teknologi Bandung, Indonesia

Date

Tue, 10/10/2017 - 12:00pm to 1:00pm

Venue

RC-4082, The Red Centre, UNSW