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Aronszajn, Nachman; Smith, K. T.

Theory of Bessel potentials. I. (English) Zbl 0102.32401

Ann. Inst. Fourier 11, 385-475 (1961).
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Cited in 172 Documents

Keywords:

functional analysis
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\textit{N. Aronszajn} and \textit{K. T. Smith}, Ann. Inst. Fourier 11, 385--475 (1961; Zbl 0102.32401)
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References:

[1] N. ARONSZAJN, Boundary values of functions with finite Dirichlet integral, Conference on Partial Differential equations, 1954, University of Kansas, Lawrence, Kansas. · Zbl 0068.08201
[2] N. ARONSZAJN and K. T. SMITH, Functional spaces and functional completion, Annales de l’Inst. Fourier, vol. 6, 1955-1956, pp. 125-185. · Zbl 0071.33003
[3] N. ARONSZAJN and K. T. SMITH, Characterization of positive reproducing kernels, applications to Green’s functions, American Journ. Math., vol. 79, 1957, pp. 611-622. · Zbl 0079.13603
[4] S. BOCHNER, Vorlesungen über fouriersche integrale, Chelsea, New York, 1948. · Zbl 0006.11001
[5] M. BRELOT, Points irréguliers et transformations continues en théorie du potentiel, Journal de Math. Pures et Appl., vol. 19, 1940. · JFM 66.0447.01
[6] L. CARLESON, On the connection between Hausdorff measures and capacity, Arkiv. f. Mat. vol. 36, 1957, pp. 403-406. · Zbl 0078.09303
[7] H. CARTAN, Sur LES fondements de la théorie du potentiel, Bull. Soc. Math. de France, vol. 69, 1941, pp. 71-96. · JFM 67.0346.03
[8] H. CARTAN, Théorie du potentiel newtonien : énergie, capacité, suites de potentiels, Bull. Soc. Math. de France, vol. 73, 1945, pp. 74-106. · Zbl 0061.22609
[9] G. CHOQUET, Theory of capacities, Ann. de l’Inst. Fourier, vol. 5, 1953-1954, pp. 131-295. · Zbl 0064.35101
[10] G. CHOQUET and J. DENY, Modèles finis en théorie du potentiel, Journ. d’Analyse Math., vol. 5, 1956-1957, pp. 77-135. · Zbl 0086.30502
[11] J. DENY, LES potentiels d’énergie finie, Acta Math., vol. 82, 1950, pp. 107-183. · Zbl 0034.36201
[12] J. DENY and J. L. LIONS, LES espaces du type de beppo Levi, Ann. de l’Inst. Fourier, vol. 5, 1955, pp. 305-370. · Zbl 0065.09903
[13] A. ERDELYI, W. MAGNUS, F. OBERHETTINGER and F. G. TRICOMI, Tables of integral transforms II, New York, McGraw-Hill, 1954. · Zbl 0055.36401
[14] A. ERDELYI, W. MAGNUS, F. OBERHETTINGER and F. G. TRICOMI, Higher transcendental functions II, New York, McGraw-Hill, 1953. · Zbl 0052.29502
[15] P. ERDOS and J. GILLIS, Note on the transfinite diameter, J. Lond. Math. Soc., vol. 12 (1937). · JFM 63.0191.01
[16] O. FROSTMAN, Potentiels d’équilibre et capacité des ensembles, Thesis, Lund, 1935. · JFM 61.1262.02
[17] B. FUGLEDE, Extremal length and functional completion, Acta Math., vol. 98, 1957, pp. 171-219. · Zbl 0079.27703
[18] G. H. HARDY, J. E. LITTLEWOOD et G. POLYA, Inequalities, Cambridge, The University Press, 1934. · JFM 60.0169.01
[19] M. D. KIRSZBRAUN, Uber die zusammenziehende und lipschitzsche transformationen, Fund. Math., vol. 22, 1934. · JFM 60.0532.03
[20] K. KUNUGUI, Étude sur la théorie du potentiel generalisé, Osaka, Math. Journ., vol. 2, 1950, pp. 63-103. · Zbl 0036.34105
[21] O. NIKODYM, Sur une classe de fonctions considérées dans l’étude du problème de Dirichlet, Fund. Math., vol. 21, 1933, pp. 129-150. · JFM 59.0290.01
[22] N. NINOMIYA, Étude sur la théorie du potentiel pris par rapport au noyau symétrique, J. Inst. Polytech. Osaka City Univ., vol. 8, 1957, pp. 147-179. · Zbl 0082.31601
[23] M. OHTSUKA, Capacité des ensembles produits, Nagoya Math. Journ. vol. 12, 1957, pp. 95-130. · Zbl 0079.12102
[24] L. SCHWARTZ, Théorie des distributions, I, II. Ac. Sci. Ind., vol. 1091, 1122, Paris, 1950-1951. · Zbl 0042.11405
[25] L. N. SLOBODETZKY, Spaces of S. L. SOBOLEFF of fractional order... (in Russian), Doklady Akad. Nauk. S.S.S.R., 118, 1958, pp. 243-246. · Zbl 0088.30302
[26] L. N. SLOBODETZKY, Évaluations of solutions... (in Russian), Doklady Akad. Nauk S.S.S.R., vol. 120, 1958, pp. 468-471.
[27] K. T. SMITH, Mean values and continuity of Riesz potentials, Comm. Pure and Applied Math., vol. 9, 1956, pp. 569-576. · Zbl 0072.31405
[28] K. T. SMITH, Functional spaces, functional completion and differential problems, conference on partial differential equations, University of Kansas, 1954, pp. 59-75. · Zbl 0067.34501
[29] S. L. SOBOLEFF, Sur un théorème de l’analyse fonctionnelle, C. R. Ac. Sci. U.R.S.S., vol. 29, 1938, pp. 5-9. · JFM 64.0208.03
[30] G. N. WATSON, A treatise on the theory of Bessel functions, Cambridge, The University Press, 1922. · JFM 50.0264.01
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