Walter Hoh
Walter Hoh
Faculty of
Mathematics
University of Bielefeld
P.O. Box 10 01 31
33501 Bielefeld
Germany
Office: V4-145
Email: hoh@math.uni-bielefeld.de
Veranstaltungen Sommersemester 2020
Lineare Algebra I
Veranstaltungen Wintersemester 2019/20
Daten und Zufall
Veranstaltungen Sommersemester 2019
Funktionen
Veranstaltungen Wintersemester 2018/19
Operations Research
Veranstaltungen Sommersemester 2018
Mathematik für Naturwissenschaften II
Veranstaltungen Wintersemester 2017/18
Mathematik für Naturwissenschaften I
Veranstaltungen Sommersemester 2017
- Mathematik für Naturwissenschaften II
Veranstaltungen Wintersemester 2016/17
- Mathematik für Naturwissenschaften I
Veranstaltungen Sommersemester 2016
- Funktionen
Veranstaltungen Wintersemester 2015/16
- Analysis II
Publications
- Quelques remarques sur la th�orie du
potentiel d'�quation de A.N. Kolmogorov.
C.R.Acad.Sci. Paris 310 (1990) 657-659 (with N. Jacob).
- On the potential theory of the Kolmogorov
equation.
Math.Nachr. 154 (1991) 51-66 (with N. Jacob).
- Remarks on mean value properties of
solutions of second order differential operators.
Expo.Math. 9 (1991) 367-377 (with N. Jacob).
- On some translation invariant balayage
spaces.
Comment.Math. Univ.Carolinae 32 (1991) 471-478 (with
N. Jacob).
- Some Dirichlet forms generated by
pseudo differential operators.
Bull. Sc. Math. 116 (1992) 383-398 (with N. Jacob).
- Some commutator estimates for
pseudo differential operators with negative
definite functions as symbols.
Integr.Equat.Oper.Th. 17 (1993) 46-53.
- Das Martingalproblem f�r eine
Klasse von Pseudodifferentialoperatoren.
PhD-Thesis, Universit�t Erlangen--N�rnberg
(1992) 87 pages.
- The martingale problem for a
class of pseudo differential operators.
Math.Ann. 300 (1994) 121-147.
- Pseudodifferential
operators, Feller semigroups and the
martingale problem.
Stochastic Processes and Optimal Control,
edited by H.J. Engelbert, I. Karatzas, M.
R�ckner,
Stochastic Monographs, Vol.7, Gordon and
Breach (1993) 95-103 (with N. Jacob).
- Pseudo differential
operators with negative definite symbols
and the martingale problem.
Stochastics and Stochastic Reports 55
(1995) 225-252.
- Upper bounds and
conservativeness for semigroups
associated with a class of Dirichlet
forms
generated by pseudo differential
operators. Forum Math. 8 (1996) 107-120
(with N. Jacob).
- Feller semigroups
generated by pseudo differential
operators.
Intern. Conf. Dirichlet forms and
Stoch. Processes, Walter deGruyter
Verlag 1995, 199-206.
- On the Dirichlet
problem for pseudo differential
operators generating Feller
semigroups.
J.Funct.Anal. 137, No.1 (1996) 19-48
(with N. Jacob).
- Un calcul
symbolique pour des op�rateurs
pseudo-diff�rentiels
engendrant des semigroupes de
Feller. C.R. Acad. Sci. Paris,
t.325, S�rie I (1997) 1121-1124.
- A symbolic
calculus for pseudo differential
operators generating Feller
semigroups.
Osaka J.Math. 35, No.4 (1998)
789-820.
- Pseudo
differential operators with
negative definite symbols of
variable order.
Rev. Mat. Iberoamericana
16.2 (2000) 219-241.
- On
perturbations of pseudo
differential operators
with negative definite
symbol.
Appl.Math.Optim. 45 (2002)
269-281.
- On Lp-semigroups,
capacities,
and balayage.
Mini-proceedings 2nd
MaPhySto Conference on
L�vy Processes: Theory
and Applications (2002)
133-137.
- Towards
an Lp-potential
theory
for sub-Markovian
semigroups:
Variational
inequalities and
balayage theory.
Journal of Evolution
Equations 4 (2004),
297-312 (with N.
Jacob).
- H�lder-continuity
of harmonic
functions associated
to pseudo
differential
operators with
negative definite
symbol.
RIMS Kokyuroku
Bessatus B6 (2008),
129-137.
- Pseudo
differential
operators and jump
processes with
hyperbolic
distributions.
Preprint (2007)