The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Page 1

Displaying 1 – 2 of 2

Showing per page

Generalized Hardy spaces on tube domains over cones

Gustavo Garrigos (2001)

Colloquium Mathematicae

We define a class of spaces H μ p , 0 < p < ∞, of holomorphic functions on the tube, with a norm of Hardy type: | | F | | H μ p p = s u p y Ω Ω ̅ | F ( x + i ( y + t ) ) | p d x d μ ( t ) . We allow μ to be any quasi-invariant measure with respect to a group acting simply transitively on the cone. We show the existence of boundary limits for functions in H μ p , and when p ≥ 1, characterize the boundary values as the functions in L μ p satisfying the tangential CR equations. A careful description of the measures μ when their supports lie on the boundary of the cone is also provided....

Currently displaying 1 – 2 of 2

Page 1