Theory of Function Spaces

The book deals with the two scales B^s_p,q and F^s_p,q of spaces of distributions, where ‑∞<s<∞ and 0_n in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in R_n. These results are applied in Chapter 4…