BOUNDARY VALUE PROBLEMS IN SPACES DEFINED BY MODULUS OF CONTINUITY

Author:

Alexander ILCHUKOV, Sergei ROGOSIN

2010 Mathematics Subject Classification:

30E25.

Keywords:

boundary value problem, modulus of continuity, singular integral.

Abstract:

The properties of the singular integral operator in spaces with modulus of continuity are studied. The solution of the Riemann boundary value problems for analytic functions is presented  on their base. An effect of the loss of regularity is discussed.

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Ilch-Rogo-2013

Vol. 8 (16), 2013