I am truly elated to have had the opportunity to write the present third edition of this book,
which is a sequel to GTM 249 Classical Fourier Analysis, 3rd Edition. This edition was born …

Untitled Page 1 Page 2 Monographs in Mathematics Vol. 99 Managing Editors: H. Amann
Universität Zürich, Switzerland JP Bourguignon IHES, BuresYsurYYvette, France K. Grove …

Littlewood-Paley theory was developed to study function spaces in harmonic analysis and
partial differential equations. Recently, it has contributed to the development of the* q …

抄録< jats: p> The distribution of the eigenvalues of differential operators has long fascinated
mathematicians. Advances have shed light upon classical problems in this area, and this …

During the last 60 years the theory of function spaces has been a subject of growing interest
and increasing diversity. Based on three formally different developments, namely, the theory …

Let Cf (g)= T (f· g)− f· T (g) where T is the Calderón-Zygmund singular integral operator. It is a
well known result of Coifman, Rochberg and Weiss that the boundedness of this operator on …

This book deals with the constructive Weierstrassian approach to the theory of function
spaces and various applications. The first chapter is devoted to a detailed study of …

Abstract Let ⃗ a:=(a_1, ..., a_n) ∈ 1, ∞)^ na→:=(a 1,…, an)∈ 1,∞) n, ⃗ p:=(p_1, ..., p_n) ∈
(0, ∞)^ np→:=(p 1,…, pn)∈(0,∞) n and H_ ⃗ a^ ⃗ p (R^ n) H a→ p→(R n) be the …

The authors mainly study the Hausdorff operators on Euclidean space ℝ n. They establish
boundedness of the Hausdorff operators in various function spaces, such as Lebesgue …

Anisotropic homogeneous mixed-norm Besov and Triebel–Lizorkin spaces are introduced
and their properties are explored. A discrete adapted φ-transform decomposition is …