\Refs \ref\no 1 \by Stein~E.M. \book Singular Integrals and Differentiability Properties of Functions \publ Princeton University \publaddr Princeton \yr 1970 \finalinfo Princeton Math. Series; vol.~30 \endref \ref\no 2 \by Nikol'skii~S.M. \book Approximation of Functions of Several Variables and Imbedding Theorems \publ Springer \publaddr Berlin and Heidelberg \yr 1975 \endref \ref\no 3 \by Lyakhov~L.N. and Polovinkina~M.V. \paper The space of weighted Bessel potentials \jour Proc. Steklov Inst. Math. \yr 2005 \vol 250 %\issue \pages 178--182 \endref \ref\no 4 \by Lyakhov~L.N. \paper Inversion of Riesz $B$-potentials \jour Soviet Math. Dokl. % Dokl. Akad. Nauk SSSR \yr 1992 %1991 \vol 44 % 321 \issue 3 %3 \pages 717--720 % 466--469 \endref %Ляхов~Л.~Н. %Обращение $B$-потенциалов Рисса %Ljahov L.N. Reversion of the $B$--Riesz potentials.// \ref\no 5 \by Lyakhov~L.N. \paper On a class of hypersingular integrals \jour Soviet Math. Dokl. %Doklady Mathematics \yr 1991 \vol 42 \issue 3 \pages 765--769 \endref \ref\no 6 \by Aronszajn~N. and Smith~K.T. \paper Functional spaces and functional completion \jour Ann. Inst. Fourier (Grenoble) \yr 1956 \vol 6 %\issue \pages 125--185 \endref \ref\no 7 \by Aronszajn~N. and Smith~K.T. \paper Characterization of positive reproducing kernels. Applications to Green's functions \jour Amer.~J. Math. \yr 1957 \vol 79 \issue 3 \pages 611--622 \endref \ref\no 8 \by Aronszajn~N. and Smith~K.T. \paper Theory of Bessel potentials \jour Ann. Inst. Fourier (Grenoble) \yr 1961 \vol 11 %\issue \pages 385--475 \endref \ref\no 9 \by Kipriyanov~I.A. \book Singular Elliptic Boundary-Value Problems \publaddr Moscow \publ Nauka and Fizmatlit \yr 1997 \lang Russian \endref \ref\no 10 \by Watson~G.N. \book A~Treatise on the Theory of Bessel Functions. Vol.~1 \publ Inostr. Lit. \publaddr Moscow \yr 1949 \lang Russian translation \endref \ref\no 11 \by Shishkina~E.L. and Sitnik~S.M. \book Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics \publ Academic \publaddr Cambridge \yr 2020 \endref \ref\no 12 \by Banach~S. and Saks~S. \paper Sur la Convergence Forte dans les Champs~$L^p$ \jour Studia Math. \yr 1930 \vol 2 %\issue \pages 51--57 \endref \ref\no 13 \by Goldman~M.L. \paper The cone of rearrangements for generalized Bessel potentials \jour Proc. Steklov Inst. Math. \yr 2008 \vol 260 %\issue \pages 144--156 \endref % DOI: 10.1134/S0081543808010100. \ref\no 14 \by Goldman~M.L. \paper Rearrangement invariant envelopes of generalized Bessel and Riesz potentials \jour Dokl. Math. \yr 2008 \vol 78 \issue 3 \pages 814--818 \endref %DOI: 10.1134/S1064562408060033. \ref\no 15 \by Ekincioglu~I., Shishkina~E.L., and Keskin~C. \paper Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation \jour Integral Transforms and Special Functions \yr 2021 \vol 32 \issue 12 \pages 932--947 \endref %DOI: 10.1080/10652469.2020.1867983. \ref\no 16 \by Dzhabrailov~A., Luchko~Y., and Shishkina~E. \paper Two forms of an inverse operator to the generalized Bessel potential \jour Axioms \yr 2021 \vol 10 \issue 3 \pages 1--20 \endref %DOI: 10.3390/axioms10030232. \endRefs