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  1. 1. Riesz potentials and Riesz transforms in local Lp-spaces

    Författare :Johan Thim; Nils Dencker; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We consider the following equation for the Riesz potential of order one:The analysis is done in local Lp and Sobolev spaces, where the topologies are described by a family of semi-norms depending on a positive real parameter. Uniqueness and existence results are proved and asymptotic properties of solutions near the origin are established. LÄS MER