Some recent articles and manuscripts, made available here
as pdf-files:
- Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces.
(Coauthors A. G. Georgiadis, M. Nielsen)
24 pages.
- Fundamental results for
pseudo-differential operators of type 1,1.
--in Axioms 5 (2016), 13 (37 pages).
(Online here.)
- Anisotropic Lizorkin-Triebel spaces with mixed
norms---traces on smooth boundaries.
(Coauthors S. Munch Hansen, W. Sickel)
--in Mathmatische Nachrichten, 288 (2015), 1328-1359 (33 pages).
(Online here.)
- Anisotropic, mixed-norm
Lizorkin-Triebel spaces and diffeomorphic maps.
(Coauthors S. Munch Hansen, W. Sickel)
--in Journal of Function Spaces and Applications, Article ID 964794, 15 pages, 2014.
(Online here.)
- Characterisation by local means of
anisotropic Lizorkin-Triebel spaces with mixed norms.
(Coauthors S. Munch Hansen, W. Sickel)
--in Journal of Analysis and its Applications, 32 (2013) 257-277 (21 pages).
(Online here.)
- Lp-theory of
type 1,1-operators.
--in Mathematische Nachrichten,
286 (2013), 712-729 (18 pages).
(Online here.)
- Pointwise estimates of
pseudo-differential operators
--in Journal of Pseudo-Differential Operators and Applications,
2 (2011), 377-398 (22 pages).
(Online here.)
- On the theory of type 1,1-operators.
Doctoral dissertation, Aalborg University, 2011 (71 pages).
- Simple proofs of
nowhere-differentiability for Weierstrass's function
and cases of slow growth
--in Journal of Fourier Analysis and Applications,
16 (2010), 17-33 (17 pages).
- Type 1,1-operators
defined by vanishing frequency modulation
--in "New Developments in Pseudo-Differential Operators",
Eds. L. Rodino and M. W. Wong,
Birkhäuser 2008.
Operator Theory: Advances and Applications, Vol. 189, 201-246
(46 pages).
- Parametrices
and exact paralinearisation of semi-linear boundary
problems
--in Communications in Partial
Differential Equations, 33 (2008), 1729-1787 (59 pages).
- On the trace problem
for Lizorkin-Triebel spaces with mixed norms
(Coauthor W. Sickel)
--in Mathematische Nachrichten, 281 (2008),
669-696 (28 pages).
- A direct proof of
Sobolev embeddings
for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms.
(Coauthor W. Sickel)
--in Journal of function spaces and their applications,
5 (2007), 183-198 (16 pages).
- Domains of pseudo-differential
operators: a case for the Triebel-Lizorkin spaces
--in Journal of Function Spaces and their Applications 3 (2005), 263-286 (24 pages).
Jon Johnsen
Last modified: Mon Nov 5 16:37:44 CEST 2012