In the present paper the author studies the analogue of the class [italic capital]C₀ within a class of operators having a functional calculus based on the algebra of bounded holomorphic functions in a finitely connected domain with an analytic boundary. The latter class consists…
by Mei, Tao
fromMemoirs of the American Mathematical Society
This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of clas…
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…
