By using quasi-Banach techniques as key ingredient we prove Poincaré-and Sobolev-type
inequalities for m-subharmonic functions with finite (p, m)-energy. A consequence of the …

We investigate the finite p-energy classes E p of quaternionic plurisubharmonic functions of
Cegrell type. We also construct an example to show that the optimal constant in the energy …

A note on the space of delta m-subharmonic functions. - Document - Gale Academic OneFile
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We will study the complex Hessian operator in an m-hyperconvex domain Q in Cn,
especially for the Cegrell classes of m-subharmonic functions. The complex Hessian …

In this study, we investigate the space of m-subharmonic functions. We introduce the
Mabuchi space of strictly m-subharmonic functions in an m-hyperconvex domain. We also …

On a characterization of $m$-subharmonic functions with weak singularitiesAll logo sign_in Unia
Europejska A+ CATEGORY SCIENTIFIC UNIT Institute About us Directory Board Mathematicians …