- In mathematics,
plurisubharmonic functions (sometimes
abbreviated as psh, plsh, or
plush functions) form an
important class of
functions used in complex...
-
domain D ⊂ C n {\displaystyle D\subset {\mathbb {C} }^{n}} is
called plurisubharmonic if it is
upper semi-continuous, and for
every complex line { a + b...
-
University Known for Oka
coherence theorem Oka's
lemma Oka–Weil
theorem Plurisubharmonic function Awards Asahi Prize (1953) ****an
Academy Prize (1951) Order...
-
pseudoconvex (or
Hartogs pseudoconvex) if
there exists a
continuous plurisubharmonic function φ {\displaystyle \varphi } on G {\displaystyle G} such that...
- the manifold.
Similarly a
plurisubharmonic function also has a
Lelong number at a point. The
Lelong number of a
plurisubharmonic function φ at a
point x...
- the Poincaré–Lelong equation, the
Lelong number and the
concept of
plurisubharmonic functions.
Lelong earned his
doctorate in 1941 from the École Normale...
-
addition to the
convex functions, the
subharmonic functions and the
plurisubharmonic functions. Geometrically,
these classes of
functions correspond to...
- ^{n}} , the
function − log d ( z ) {\displaystyle -\log d(z)} is
plurisubharmonic,
where d {\displaystyle d} is the
distance to the boundary. This property...
-
potential theory, a
pluripolar set is the
analog of a
polar set for
plurisubharmonic functions. Let G ⊂ C n {\displaystyle G\subset {\mathbb {C} }^{n}}...
-
analysis and
theoretical mathematics including Monge–Ampère
equation and
plurisubharmonic functions. He
graduated in
mathematics from the
Jagiellonian University...
