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  • 1990-1994  (1)
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    Electronic Resource
    Electronic Resource
    Springer
    Integral equations and operator theory 13 (1990), S. 104-131 
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Banach algebras of certain bounded operators acting on the half-spaceL p (R + n+1 ,x 0 α ) (1〈p〈∞, −1〈α〈p−1) are defined which contain for example Wiener-Hopf operators, defined by multidimensional singular convolution integral operators, as well as certain singular integral operators with fixed singularities. Moreover the symbol may be a positive homogeneous function only piecewise continuous on the unit sphere. Actually these multidimensional singular integral operators may be not Calderón-Zygmund operators but are built up by those in lower dimensions. This paper is a continuation of a joint paper of the author together with R.V. Duduchava [10]. The purpose is to investigate invertibility or Fredholm properties of these operators, while the continuity is given by definition. This is done in [10] forp=2 and −1〈α〈1, and in the present paper forL p (R + n+1 ,x 0 α ) with 1〈p〈∞ and −1〈α〈p−1.
    Type of Medium: Electronic Resource
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