A book dealing with several classes of Besov-Hardy-Sobolev function spaces on the Euclidean n-space and the n-torus. Periodic, weighted and anisotropic spaces are discussed, as well as spaces in which properties of dominating mixed smoothness predominate.
In this memoir, we extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. We establish a suitable analogue of the Calderón reproducing formula and use it to extend classical results on atomic decomposition…
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here i…
