Theory of function spaces. (English) Zbl 0546.46028

Triebel, Hans

Mathematik und ihre Anwendungen in Physik und Technik, Bd. 38. Leipzig: Akademische Verlagsgesellschaft Geest & Portig K.-G. 284 p., 20 figs. DDR M 69.00 (1983).

This book is reviewed together with Zbl 0546.46027 above.

MSC:

46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46E15	Banach spaces of continuous, differentiable or analytic functions
35J40	Boundary value problems for higher-order elliptic equations

Keywords:

Besov-Lipschitz, Hölder, Zygmund, Sobolev, Bessel-potential, and Hardy spaces; spaces of entire analytic functions; Fourier multipliers; interpolations, equivalent quasi norms; representations; embedding theorems; pointwise multipliers; restrictions and extensions; transformations of variables; local coordinate method; boundary value problem; regular elliptic differential equations

Citations:

Zbl 0145.162; Zbl 0255.46026; Zbl 0345.42003; Zbl 0408.46024; Zbl 0546.46027