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Subjects
45-XX Integral equations
45Exx Singular integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)

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Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation

Martin Costabel, Ernst Stephan (1985)

Banach Center Publications

Boundedness of Riesz potential generated by generalized shift operator on $B a$ spaces

Ayhan Ṣerbetci, Ismail Ekincioğlu (2004)

Czechoslovak Mathematical Journal

In this paper, the boundedness of the Riesz potential generated by generalized shift operator $I_{B_{k}}^{α}$ from the spaces $a = (L_{p_{m}, ν} (ℝ_{n}^{k}), a_{m})$ to the spaces $a^{'} = (L_{q_{m}, ν} (ℝ_{n}^{k}), a_{m}^{'})$ is examined.

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