WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Binormal Measures
Authors: ,
Abstract: Our starting point is the measure $$ε_{X}-α_{X}ρ_{X}^{ω_1}+β_{X} ρ_{X}^{ω_2}$$, where $$ρ_{X}^{ω_i}$$ is the harmonic measure relative to $$xϵω_1⊂\overline{ω_1}⊂ω_2$$ and $$ω_i$$ are concentric balls of $$\mathbb{R}^n$$; $$α_{X}, β_{X}$$; are functions depending on $$x$$ and the radii of $$ω_i$$ $$(i=1,2)$$. Generalizing the above measure, we introduce and study the binormal measures as well as their relation to biharmonic functions.