Troels Johansen

activity

20062015

most citedAn index theorem for Wiener--Hopf operators

13 citations · 31 across the 8 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.CA2011★ 2 cited

On a Class of Non-Integrable Multipliers for the Jacobi Transform

Troels Roussau Johansen

We show that a bounded function $m$ on $R$ not necessarily integrable at infinity may still yield $L^{p}$ -bounded convolution operators for the Jacobi transform if the nontangential…

math.CA2011★ 3 cited

$L^{p}$ -results for fractional integration and multipliers for the Jacobi transform

Troels Roussau Johansen

We use precise asymptotic expansions for Jacobi functions $ϕ_{λ}^{(α, β)}$ parameters $α$ , $β$ satisfying $α > 1/2$ , $α > β > - 1/2$ , to generalizing classical Hörmander-type multiplier theo…

math.CA2011

Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier

Troels Roussau Johansen

We introduce a maximal operator for the natural analogue of the disc multiplier in the framework of Jacobi analysis and determine the mapping properties of said maximal operator, i…

On a Class of Non-Integrable Multipliers for the Jacobi Transform

Lp-results for fractional integration and multipliers for the Jacobi transform

Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier

$L^{p}$ -results for fractional integration and multipliers for the Jacobi transform