On ð™±ð™¼ð™¾áµ  Ì› áµ– Singularities of solutions of Complex Vector Fields

Joaquim Tavares

On ð™±ð™¼ð™¾áµ Ì› áµ– Singularities of solutions of Complex Vector Fields

Authors

Joaquim Tavares Departamento de Matemática UFPE Recife, 50740-540, Brasil.

Keywords:

Cauchy transforms, BMO, removable singularities

Abstract

We study the singularities of solutions in ð™±ð™¼ð™¾áµ Ì› áµ– of an complex vector field L= X + iY. Necessary and sufficient conditions are established in the plane when â„‹_ðœ‘(Î£) = 0, where Î£ is the set where X, Y are linearly dependent and â„‹_ðœ‘is the Hausdorff measure defined by ðœ‘.