OPERATOR SUPERPOSISI PADA RUANG HOLDER; THE SUPERPOSITION OPERATOR IN HOLDER SPACE

YUNDARI, Supama

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

This thesis discusses the Holder functions, Holder space and their properties. Furthermore, we will introduce the superposition operator in general and the properties of the superposition operator in Holder space. The properties discussed are the following: the acting condition, the boundedness condition and the continuity condition. The superposition operator which discussed a nonlinear operator so that the boundedness and the continuity is not equivalent. The superposition operator F generated by f maps

Kata Kunci : fungsi holder, ruang holder, sifat-sifat holder