Hardy spaces, Regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces

The Anh Bui, Xuan Thinh Duong

One defines a non-homogeneous space $(X,\mu )$ as a metric space equipped with a non-doubling measure $\mu$ so that the volume of the ball with center $x$, radius $r$ has an upper boun…