# Plurisubharmonicity

On this page:

- Definition of the noun Plurisubharmonicity
- Printed books with definitions for Plurisubharmonicity
- Online dictionaries and encyclopedias with entries for Plurisubharmonicity
- Video about Plurisubharmonicity
- Scrabble value of P
_{3}L_{1}U_{1}R_{1}I_{1}S_{1}U_{1}B_{3}H_{4}A_{1}R_{1}M_{3}O_{1}N_{1}I_{1}C_{3}I_{1}T_{1}Y_{4} - Share this page

## Definition of the noun Plurisubharmonicity

What does Plurisubharmonicity mean as a name of something?

**noun**

- The property of being plurisubharmonic.

## Printed encyclopedias and other books with definitions for Plurisubharmonicity

Click on a title to look inside that book (if available):

### Stein Manifolds and Holomorphic Mappings (2017)

The Homotopy Principle in Complex Analysis by Franc Forstnerič

* Plurisubharmonicity is a local property: A
function is plurisubharmonic if and only if it is such in an open neighborhood of
any point*. The maximum principle: If u e Psh(X) has a local maximum at some
point, then u is constant on the respective connected component of X. • If ui e Psh
(X) and c > 0 for j = 1,..., k then X - couj e Psh(X). • If u je Psh(X) for j = 1,..., k then
max{u 1, ...

### Analytic Function Theory of Several Variables (2016)

Elements of Oka’s Coherence by Junjiro Noguchi

* The plurisubharmonicity is a local property*. (ii) Let U,V be
open subsets of Cn, and let f : V → U be a holomorphic map. Then the pull-back f
∗φ = φ ◦ f of a plurisubharmonic function φ in U is plurisubharmonic in V. If f is
biholomorphic, the converse is also true. Supplements: We would like to state
three theorems on plurisubharmonic functions. Each of them is very interesting,
but independent of the theoretical development of the present book and not
necessary there, ...

### Holomorphy and Convexity in Lie Theory (2000)

by Karl-Hermann Neeb

Next we recall that
* plurisubharmonicity is a local property* (cf. [H673, Cor. 1.6.5]), so that it suffices to
assume that G ...

### Encyclopaedia of Mathematics (2013)

A-Integral — Coordinates by M. Hazewinkel

If p is twice continuously differentiable, then **the condition of
plurisubharmonicity**, in accordance with the rules of differentiation of composite
functions, is that the Hermitian form H(w, ...

## Online dictionaries and encyclopedias with entries for Plurisubharmonicity

Click on a label to prioritize search results according to that topic:

## Video about Plurisubharmonicity

**Plurisubharmonicity Meaning**

Video shows what plurisubharmonicity means. The property of being plurisubharmonic.. Plurisubharmonicity Meaning. How to pronounce, definition audio ...

## Scrabble value of P_{3}L_{1}U_{1}R_{1}I_{1}S_{1}U_{1}B_{3}H_{4}A_{1}R_{1}M_{3}O_{1}N_{1}I_{1}C_{3}I_{1}T_{1}Y_{4}

The value of this 19-letter word is 33 points. Since it has more than 15 letters, it can be played on Super Scrabble board only.

## Share this page

## Next...

Go to the wordplay of Plurisubharmonicity for some fun with words!