Professor Alan McIntosh is the major contributor to the evolution and solution of
the Kato problem.
Let M be a complete Riemannian manifold. Assuming the doubling
condition on the volume of balls, we define Hardy spaces Hp of
differential forms on M and give various characterizations of them,
including a molecular decomposition. As a consequence, we derive the
Hp-boundedness for Riesz transforms on M, generalizing previously known
results. Further applications, in particular to functional calculus
and Hodge decomposition, are given. This is joint work with Pascal
Auscher and Emmanuel Russ.
Place: Red Centre, room 4082.
Date: Wednesday 9th of May.
Time: 12:00 -- 13:00