68 citations · 225 across the 9 of their papers we have counts for
8 papers · 2 filters
Pointwise multiplication of Besov and Triebel--Lizorkin spaces
Jon Johnsen
It is shown that para-multiplication applies to a certain product defined for appropriate temperate distributions and . Boundedness of is investiga…
Traces of Besov spaces revisited
Jon Johnsen
For the trace of Besov spaces onto a hyperplane, the borderline case with and is analysed and a new dependence on the sum-exponent is…
Traces of anisotropic Besov--Lizorkin--Triebel spaces---a complete treatment of the borderline cases
Walter Farkas, Jon Johnsen, Winfried Sickel
Including the previously untreated borderline cases, the trace spaces in the distributional sense of the Besov--Lizorkin--Triebel spaces are determined for the anisotropic (or quas…
Regularity results and parametrices of semi-linear boundary problems of product type
Jon Johnsen
This short note describes the benefit one obtains from a specific construction of a family of parametrices for a class of elliptic boundary value problems perturbed by non-linear t…
Domains of type 1,1 operators: a case for Triebel--Lizorkin spaces
Jon Johnsen
Pseudo-differential operators of type 1,1 are proved continuous from the Triebel--Lizorkin space to for , when of order d, and this is the largest…
Domains of pseudo-differential operators: a case for the Triebel--Lizorkin spaces
Jon Johnsen
The main result is that every pseudo-differential operator of type 1,1 and order is continuous from the Triebel--Lizorkin space to , , and that…