C. le Merdy

activity

20102026

most citedMaximal theorems and square functions for analytic operators on Lp-spaces

36 citations · 47 across the 21 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.FA2011★ 1 cited

A sharp equivalence between $H^{\infty}$ functional calculus and square function estimates

Christian Le Merdy

Let T_t = e^{-tA} be a bounded analytic semigroup on Lp, with 1<p<\infty. It is known that if A and its adjoint A^* both satisfy square function estimates \bignorm{\bigl(\int_{0}^{…

math.FA2011

Dilation of Ritt operators on L^{p}-spaces

Cedric Arhancet, Christian Le Merdy

For any Ritt operator T:L^{p}(Ω) --> L^{p}(Ω), for any positive real number α, and for any x in L^{p}, we consider the square functions |x |_{T,α} = \Bigl| \Bigl(\sum_{k=1}^{\infty…

A sharp equivalence between H∞ functional calculus and square function estimates

Dilation of Ritt operators on L^{p}-spaces

A sharp equivalence between $H^{\infty}$ functional calculus and square function estimates