| In this dissertation we study analytic Q_K spaces, a M¨obius invariant space.Some new characterizations of Q_K spaces are given, including the decompositiontheorem and discrete form of Q_K spaces. A relationship between Q_K and Morreytype spaces is obtained.Chapter 1 contains the history and present situation of function space, aswell as the main results of the thesis.Chapter 2 provides the decomposition theorem and discrete form for Q_Kspaces.Chapter 3 estabishes the decomposition theorem and discrete form for an-alytic D_K spaces. The characterization in terms of a conjugate pair for D_K andQ_K functions is given.Chapter 4 characterizes the fractional order derivative of Q_K functions; byintroducing and studying Morrey type spaces, a relationship between Q_K andMorrey type spaces is given. |
