Plurisuperharmonic
Translation of "plurisuperharmonic" into Russian
plurisuperharmonic
AdjectiveUK
/ˌplʊərɪˌsuːpəˌhɑːˈmɒnɪk/
US
/ˌplʊrɪˌsuːpərˌhɑːrˈmɑnɪk/
plurisuperharmonic
плюрисверхгармонический
The function is plurisuperharmonic in the given domain.
Функция является плюрисверхгармонической в данном домене.
Definitions
plurisuperharmonic
NounUK
/ˌplʊərɪˌsuːpəˌhɑːˈmɒnɪk/
US
/ˌplʊrɪˌsuːpərˌhɑːrˈmɑnɪk/
A function of several complex variables that is plurisuperharmonic.
Any plurisuperharmonic defined on a bounded domain is locally integrable.
plurisuperharmonic
AdjectiveUK
/ˌplʊərɪˌsuːpəˌhɑːˈmɒnɪk/
US
/ˌplʊrɪˌsuːpərˌhɑːrˈmɑnɪk/
Describing a function of several complex variables that is superharmonic in every complex line, i.e. lower semi-continuous and satisfying the reversed pluri-mean value inequality.
The potential u was shown to be plurisuperharmonic on the whole polydisc.