FU JEN LECTURES IN HARDY SPACES

Hardy Inequalities in Function Spaces

Weak Hardy Spaces

We provide a careful treatment of the weak Hardy spaces Hp,∞(Rn) for all indices 0 < p < ∞. The study of these spaces presents differences from the study of the Hardy-Lorentz spaces H(R) for q <∞, due to the lack of a good dense subspace of them. We obtain several properties of weak Hardy spaces and we discuss a new square function characterization for them, obtained by He [16].

Operator Valued Hardy Spaces

We give a systematic study on the Hardy spaces of functions with values in the non-commutative L-spaces associated with a semifinite von Neumann algebra M. This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on the non-commutative martingale inequalities. Our non-com...

Hardy spaces for the strip

In this paper we present some new results about the conformally invariant Hardy spaces Hp(S) in the strip S := { z ∈ C | | Imz | < 1 } for 0 < p <∞ . We give an intrinsic characterization of these spaces and we prove that the set of polynomials are dense in all of them.

Jen - Fu Chiu Adaptation and Carcinogenesis The Possible Role of Cytokeratin 8 in Cadmium - Induced

Chronic exposures to cadmium compounds are carcinogenic. It was hypothesized that the development of resistance to cadmium may drive carcinogenesis. This is achieved by selection of resistant cells in which the apoptotic response is significantly attenuated. The induction of cadmium resistance in rat lung epithelial cells (LEC) was used to explore the mechanisms of cadmium-induced adaptation an...