Abstract
We characterise the distributions generated by the boundary values of functions from Privalov spaces.
Highlights
We use the following notation and preliminaries. U stands for the open unit disc in C and T is its boundary, i.e.U = {z ∈ C||z| < 1}, T = ∂U, and Π+ is the upper half plane, meaning Π+ = {z ∈ C|Imz > 0}
We characterise the distributions generated by the boundary values of functions from Privalov spaces
U stands for the open unit disc in C and T is its boundary, i.e
Summary
We use the following notation and preliminaries. U stands for the open unit disc in C and T is its boundary, i.e.U = {z ∈ C||z| < 1}, T = ∂U, and Π+ is the upper half plane, meaning Π+ = {z ∈ C|Imz > 0}. We characterise the distributions generated by the boundary values of functions from Privalov spaces. Lploc is the space of measurable functions on Ω such that for every compact set
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