noun, noun or participle which takes 'suru', transitive verb
vain hope; false hope; unfounded expectation
Refers to a hope or expectation that is unrealistic or without solid basis. Often used in the phrase 空頼みをする.
彼の助けを空頼みしても無駄だ。
It's useless to pin vain hopes on his help.
そんな空頼みはやめたほうがいい。
You'd better give up such false hopes.