LIMITS IMBEDDING THEOREMS ON THE ANISOTROPIC SOBOLEV-BESSEL SPACE

In this paper the generalized shift operator is considered generated by the Bessel differential operator , by means of which anisotropic Fourier–Bessel singular integral operators (B_n- anisotropic singular integral operators) are investigated. The boundedness of the anisotropic Fourier–Bessel singular integral operators is proved acting boundedly on the space . As well are proved limits embedding theorems on the Sobolev-Bessel space .