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@article{TM_2023_323_a6, author = {M. L. Goldman and V. D. Stepanov}, title = {Riemann--Liouville {Space} of {Fractional} {Potentials} on the {Half-Line}}, journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova}, pages = {127--136}, publisher = {mathdoc}, volume = {323}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TM_2023_323_a6/} }
TY - JOUR AU - M. L. Goldman AU - V. D. Stepanov TI - Riemann--Liouville Space of Fractional Potentials on the Half-Line JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2023 SP - 127 EP - 136 VL - 323 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2023_323_a6/ LA - ru ID - TM_2023_323_a6 ER -
M. L. Goldman; V. D. Stepanov. Riemann--Liouville Space of Fractional Potentials on the Half-Line. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 127-136. http://geodesic.mathdoc.fr/item/TM_2023_323_a6/
[1] Gol'dman M.L., Heinig H.P., Stepanov V.D., “On the principle of duality in Lorentz spaces”, Can. J. Math., 48:5 (1996), 959–979 | DOI | MR | Zbl
[2] Lizorkin P.I., “Obobschennoe liuvillevskoe differentsirovanie i funktsionalnye prostranstva $L_p^r(E_n)$. Teoremy vlozheniya”, Mat. sb., 60:3 (1963), 325–353 | Zbl
[3] P. I. Lizorkin, “Generalized Liouville differentiation and the method of multipliers in the theory of imbeddings of classes of differentiable functions”, Proc. Steklov Inst. Math., 105 (1971), 105–202 | MR | Zbl | Zbl
[4] P. I. Lizorkin, “Operators connected with fractional differentiation, and classes of differentiable functions”, Proc. Steklov Inst. Math., 117 (1974), 251–286 | MR | Zbl | Zbl
[5] Newman J., Solomyak M., “Two-sided estimates on singular values for a class of integral operators on the semi-axis”, Integral Eqns. Oper. Theory, 20:3 (1994), 335–349 | DOI | MR | Zbl
[6] S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems, Grundl. Math. Wiss., 205, Springer, Berlin, 1975 | MR | Zbl
[7] D. V. Prokhorov and V. D. Stepanov, “Weighted estimates for the Riemann–Liouville operators and applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301 | MR | Zbl
[8] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, NJ, 1970 | MR | Zbl
[9] H. Triebel, Theory of Function Spaces, Monogr. Math., 78, Birkhäuser, Basel, 1983 | MR | Zbl
[10] Triebel H., Theory of function spaces II, Monogr. Math., 84, Birkhäuser, Basel, 1992 | MR | Zbl