New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. Boundedness of composition op- erators on general weighted Hardy spaces of analytic functions.. Boundedness

Space of homogeneous type, geometry and distribution of points, Hardy type inequal- ities, Layer decay properties, Monotone geodesic

Later, the theory of Hardy spaces and their dual spaces associated with Muckenhoupt weights have been extensively studied by Garc´ıa-Cuerva [22], Str¨omberg and Torchinsky [57]

This class K L contains almost all fundamental operators (we refer the reader to [32] for the classical case L = − ∆) related to the Schr¨odinger operator

Finally, we mention that in an upcoming paper [BPS] we study the question of factorization of Hardy spaces as well as characterization of bounded and com- pact Hankel operators on

We have given in [BGS] a direct proof of the fact that Hankel operators are bounded on H 1 in the unit ball if and only if their symbol is in the space LMOA, without

Namely, we characterize Sobolev and Hardy-Sobolev spaces in terms of maximal functions and provide an atomic decomposition for Hardy-Sobolev spaces.. We also investigate the

Our method of proof differs from both of these papers, in that we use the full power of the reproducing formula to obtain a tent space atomic decomposition of Qu whose atoms have