Edit Profile (opens in new tab) Nakai, Mitsuru Co-Author Distance Author ID: nakai.mitsuru Published as: Nakai, Mitsuru; Nakai, M.; Nakai, Mitsura; Nakaj, Mitsuru; Nakal, Mitsuru more...less External Links: MGP Documents Indexed: 218 Publications since 1958, including 3 Books 1 Further Contribution Co-Authors: 17 Co-Authors with 105 Joint Publications 104 Co-Co-Authors all top 5 Co-Authors 114 single-authored 45 Sario, Leo 23 Tada, Toshimasa 14 Glasner, Moses 11 Segawa, Shigeo 9 Hayashi, Mikihiro 3 Kawamura, Michihiko 2 Ishikawa, Yujiro 2 Kobayashi, Yasuyuki 2 Narita, Junichiro 1 Arai, Hitoshi 1 Chung, Lung Ock 1 Hara, Masaru 1 Hasumim, Morisuke 1 Hatori, Osamu 1 Izuchi, Keiji 1 Jimbo, Toshiya 1 Kayano, Takashi 1 Kishi, Masanori 1 Larsen, Kenneth 1 Masaoka, Hiroaki 1 Mochizuki, Nozomu 1 Nakazi, Takahiko 1 Ohno, Shûichi 1 Rodin, Burton 1 Tanaka, Hiroshi 1 Tsurumi, Kazuyuki 1 Wada, Junzo 1 Wang, Cecilia Yuen-Chiann 1 Yamamoto, Takanori all top 5 Serials 29 Nagoya Mathematical Journal 18 Proceedings of the Japan Academy 14 Journal of the Mathematical Society of Japan 12 Pacific Journal of Mathematics 10 Kodai Mathematical Journal 10 Bulletin of Nagoya Institute of Technology 9 Proceedings of the Japan Academy. Series A 8 Journal d’Analyse Mathématique 7 Tôhoku Mathematical Journal. Second Series 6 Bulletin of the American Mathematical Society 5 Hiroshima Mathematical Journal 5 Hokkaido Mathematical Journal 5 Complex Variables. Theory and Application 5 Kodai Mathematical Seminar Reports 4 Transactions of the American Mathematical Society 4 RIMS Kokyuroku 3 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 3 Mathematische Annalen 3 Mathematica Scandinavica 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Proceedings of the National Academy of Sciences of the United States of America 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Annales Academiae Scientiarum Fennicae. Series A I 1 Archive for Rational Mechanics and Analysis 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Analysis and Applications 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Journal of Differential Equations 1 Journal of the Faculty of Science. Section I A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Science Report of the Faculty of Education. Natural Science 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 New Zealand Journal of Mathematics 1 Potential Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Far East Journal of Mathematical Sciences 1 Rendiconti di Matematica, VI. Serie 1 Japanese Journal of Mathematics 1 Osaka Mathematical Journal 1 Complex Variables and Elliptic Equations 1 Grundlehren der Mathematischen Wissenschaften 1 Lecture Notes in Mathematics 1 RIMS Kokyuroku all top 5 Fields 109 Potential theory (31-XX) 92 Functions of a complex variable (30-XX) 35 Partial differential equations (35-XX) 16 Functional analysis (46-XX) 6 Differential geometry (53-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 846 times in 375 Documents Cited by ▼ Year ▼ Classification theory of Riemann surfaces. Zbl 0199.40603 Nakai, Mitsura; Sario, Leo 177 1970 Principal functions. Zbl 0159.10701 Rodin, Burton; Sario, Leo; Nakai, Mitsuru 42 1968 Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions. Zbl 0355.31001 Sario, Leo; Nakai, Mitsuru; Wang, Cecilia; Chung, Lung Ock 27 1977 On Evans potential. Zbl 0197.08604 Nakai, M. 23 1962 A measure on the harmonic boundary of a Riemann surface. Zbl 0101.05402 Nakai, Mitsuru 20 1960 Algebraic criterion on quasiconformal equivalence of Riemann surfaces. Zbl 0096.06101 Nakai, Mitsuru 19 1960 The space of bounded solutions of the equation \(\Delta u = pu\) on a Riemann surface. Zbl 0102.29805 Nakai, Mitsuru 17 1960 Martin boundary over an isolated singularity of rotation free density. Zbl 0281.30012 Nakai, M. 16 1974 A test of Picard principle for rotation free densities. Zbl 0302.30028 Nakai, M. 14 1975 Dirichlet finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. Zbl 0226.31004 Nakai, Mitsuru 13 1971 Quasiharmonic classification of Riemannian manifolds. Zbl 0229.31006 Nakai, Mitsuru; Sario, Leo 13 1972 The space of Dirichlet-finite solutions of the equation \(\Delta u=P u\) on a Riemann surface. Zbl 0099.08304 Nakai, Mitsuru 13 1961 Dirichlet finite solutions of \(\delta\)u = Pu, and classification of Riemann surfaces. Zbl 0223.30010 Nakai, Mitsuru 12 1971 The space of non-negative solutions of the equation \(\Delta u=pu\) on a Riemann surface. Zbl 0105.07404 Nakai, Mitsuru 12 1960 On a ring isomorphism induced by quasiconformal mappings. Zbl 0096.06002 Nakai, Mitsuru 12 1959 Order comparisons on canonical isomorphisms. Zbl 0271.31002 Nakai, Mitsuru 10 1973 A test of Picard principle for rotation free densities. II. Zbl 0341.30019 Kawamura, M.; Nakai, M. 10 1976 Existence of bounded biharmonic functions. Zbl 0251.31003 Nakai, Mitsuru; Sario, Leo 10 1973 Picard principle for finite densities. Zbl 0402.31003 Nakai, Mitsuru 9 1978 Construction of principal functions by orthogonal projection. Zbl 0173.13901 Nakai, Mitsuru; Sario, Leo 9 1966 Existence of Dirichlet finite biharmonic functions. Zbl 0264.31008 Nakai, Mitsuru; Sario, Leo 8 1973 Picard principle and Riemann theorem. Zbl 0335.35036 Nakai, Mitsuru 8 1976 Biharmonic classification of Riemannian manifolds. Zbl 0253.31011 Nakai, Mitsuru; Sario, Leo 8 1971 A new operator for elliptic equations and the \(P\)-compactification for \(\Delta u=Pu\). Zbl 0196.12703 Nakai, Mitsuru; Sario, Leo 8 1970 Extreme nonmonotoneity of the Picard principle. Zbl 0627.31002 Nakai, Mitsuru; Tada, Toshimasa 7 1988 Monotoneity and homogeneity of Picard dimensions for signed radial densities. Zbl 0878.31004 Nakai, Mitsuru; Tada, Toshimasa 7 1997 On rings of analytic functions on Riemann surfaces. Zbl 0113.05801 Nakai, M. 7 1963 On Evans’ solution of the equation \(\Delta u = Pu\) on Riemann surfaces. Zbl 0144.15201 Nakai, M. 7 1963 Green potential of Evans type on Royden’s compactification of a Riemann surface. Zbl 0148.09801 Nakai, M. 7 1964 Dirichlet finite biharmonic functions with Dirichlet finite Laplacians. Zbl 0263.31006 Nakai, Mitsuru; Sario, Leo 6 1971 A test for Picard principle. Zbl 0304.31002 Nakai, Mitsuru 6 1975 Extremal functions for capacities. Zbl 1185.31002 Nakai, Mitsuru 6 2009 Royden algebras and quasi-isometries of Riemannian manifolds. Zbl 0241.31014 Nakai, Mitsuru 6 1972 Densities without Evans solutions. Zbl 0299.31002 Nakai, Mitsuru 5 1974 Extremizations and Dirichlet integrals on Riemann surfaces. Zbl 0323.30021 Nakai, M. 5 1976 Biharmonic functions on Riemannian manifolds. Zbl 0253.31004 Nakai, Mitsuru; Sario, Leo 5 1972 Corona theorem with bounds for finitely sheeted disks. Zbl 0572.30038 Hara, Masaru; Nakai, Mitsuru 5 1984 Nonmonotonicity of Picard principle. Zbl 0598.30060 Nakai, Mitsuru; Tada, Toshimasa 5 1985 Bordered Riemann surface with parabolic double. Zbl 0109.05101 Nakai, M. 5 1961 Genus and classification of Riemann surfaces. Zbl 0118.30002 Nakai, M. 5 1962 The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\). Zbl 0226.31006 Nakai, Mitsuru 5 1971 Existence of bounded Dirichlet finite biharmonic functions. Zbl 0236.31003 Nakai, Mitsuru; Sario, Leo 5 1972 The distribution of Picard dimensions. Zbl 0554.31006 Nakai, Mitsuru; Tada, Toshimasa 5 1984 A property of biharmonic functions with Dirichlet finite Laplacians. Zbl 0246.31009 Nakai, Mitsuru; Sario, Leo 5 1971 Algebras of some differentiable functions on Riemannian manifolds. Zbl 0098.08602 Nakai, Mitsuru 5 1959 Canonical isomorphisms of energy finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. Zbl 0304.31003 Nakai, Mitsuru 4 1975 Green’s function of the clamped punctured disk. Zbl 0382.31003 Nakai, Mitsuru; Sario, Leo 4 1977 Point separation by bounded analytic functions of a covering Riemann surface. Zbl 0627.30031 Hayashi, Mikihiro; Nakai, Mitsuru 4 1988 Completeness and function-theoretic degeneracy of Riemannian spaces. Zbl 0168.08903 Nakai, Mitsuru; Sario, Leo 4 1967 Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\). Zbl 0213.12305 Glasner, Moses; Katz, Richard; Nakai, M. 4 1971 Bounded analytic functions on two sheeted discs. Zbl 0759.30018 Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo 4 1992 Corona problem for Riemann surfaces of Parreau-Widom type. Zbl 0565.30028 Nakai, Mitsuru 4 1982 The corona problem on finitely sheeted covering surfaces. Zbl 0565.30029 Nakai, Mitsuru 4 1983 An example on canonical isomorphism. Zbl 0408.31003 Nakai, Mitsuru 3 1978 The range of Picard dimensions. Zbl 0458.31001 Nakai, Mitsuru 3 1979 Uniform densities on hyperbolic Riemann surfaces. Zbl 0267.31009 Nakai, Mitsuru 3 1973 Dirichlet finite biharmonic functions on the plane with distorted metrics. Zbl 0268.31009 Nakai, Mitsuru 3 1973 A remark on Picard principle. Zbl 0336.31002 Nakai, Mitsuru 3 1974 The roles of nondensity points. Zbl 0341.31001 Glasner, Moses; Nakai, Mitsuru 3 1976 Existence of biharmonic Green’s functions. Zbl 0374.31005 Nakai, Mitsuru; Sario, Leo 3 1978 Existence of quasi-isometric mappings and Royden compactifications. Zbl 0947.30010 Nakai, Mitsuru 3 2000 Dirichlet finite harmonic measures on Riemann surfaces. Zbl 0724.30034 Nakai, Mitsuru 3 1991 Existence of Dirichlet finite harmonic measures in nonlinear potential theory. Zbl 0795.31001 Nakai, Mitsuru 3 1993 Picard dimensions for potentials of positive type. Zbl 0829.31006 Nakai, Mitsuru; Tada, Toshimasa 3 1994 The role of completeness in the type problem for infinitely sheeted planes. Zbl 1060.30053 Nakai, Mitsuru; Segawa, Shigeo 3 2004 On the fundamental existence theorem of Kishi. Zbl 0141.10502 Nakai, M. 3 1963 Behaviour of Green lines at Royden’s boundary of Riemann surfaces. Zbl 0146.30601 Nakai, M. 3 1964 On \(\Phi\)-bounded harmonic functions. Zbl 0154.36904 Nakai, Mitsuru 3 1966 Infinite boundary value problems for second order elliptic parial differential equations. Zbl 0211.41401 Nakai, M. 3 1970 Riemannian manifolds with discontinuous metrics and the Dirichlet integral. Zbl 0212.45002 Glasner, M.; Nakai, M. 3 1972 A remark on classification of Riemann surfaces with respect to \(\Delta u=Pu\). Zbl 0226.31005 Nakai, Mitsuru 3 1971 The equation \(\Delta u=Pu\) on the unit disk with almost rotation free \(P\geq 0\). Zbl 0229.31002 Nakai, Mitsuru 3 1972 Existence of quasiconformal mappings between Riemannian manifolds. Zbl 0501.30017 Nakai, Mitsuru; Tanaka, Hiroshi 3 1982 Existence of quasiconformal mappings between Riemann surfaces. Zbl 0502.30016 Nakai, Mitsuru 3 1981 Riemannian manifolds with connected Royden harmonic boundaries. Zbl 0764.53032 Nakai, Mitsuru 3 1992 Some expectations in AW\(^*\)-algebras. Zbl 0086.09803 Nakai, Mitsuru 3 1958 A function algebra on Riemann surfaces. Zbl 0090.29202 Nakai, Mitsuru 3 1959 Purely algebraic characterization of quasiconformality. Zbl 0102.29802 Nakai, Mitsuru 3 1959 Images of reduction operators. Zbl 0458.30026 Glasner, Moses; Nakai, Mitsuru 2 1981 A uniqueness theorem and the Myberg phenomenon. Zbl 0977.30032 Hayashi, Mikihiro; Nakai, Mitsuru 2 1998 Banach spaces of bounded solutions of \(\Delta u = Pu (P \geq 0)\) on hyperbolic Riemann surfaces. Zbl 0293.31005 Nakai, Mitsuru 2 1974 A remark on Picard principle. II. Zbl 0337.31002 Nakai, Mitsuru 2 1975 Duffin’s function and Hadamard’s conjecture. Zbl 0338.31012 Nakai, Mitsuru; Sario, Leo 2 1978 On Hadamard’s problem for higher dimensions. Zbl 0345.31007 Nakai, Mitsuru; Sario, Leo 2 1977 Malformed subregions of Riemann surfaces. Zbl 0354.30015 Nakai, M. 2 1977 Divisors on meromorphic function fields. Zbl 0368.46030 Nakai, Mitsuru 2 1975 Tôki covering surfaces and their applications. Zbl 0371.30016 Nakai, Mitsuru; Segawa, Shigeo 2 1978 Brelot spaces of Schrödinger equations. Zbl 0864.31007 Nakai, Mitsuru 2 1996 A uniqueness theorem and the Myrberg phenomenon for a Zalcman domain. Zbl 0965.30024 Hayashi, Mikihiro; Kobayashi, Yasuyuki; Nakai, Mitsuru 2 2000 On the Myrberg type phenomenon. Zbl 0698.30036 Hayashi, Mikihiro; Nakai, Mitsuru 2 1989 Two sheeted discs and bounded analytic functions. Zbl 0795.30029 Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo 2 1993 Existence of Dirichlet finite harmonic measures on Euclidean balls. Zbl 0794.31007 Nakai, Mitsuru 2 1994 Concrete representation of Green’s function and its application. Zbl 0809.31003 Nakai, Mitsuru; Tada, Toshimasa 2 1993 Picard principle for negative planar potentials. Zbl 0878.31001 Nakai, Mitsuru; Tada, Toshimasa 2 1997 A form of classical Picard principle. Zbl 0869.31002 Ishikawa, Yujiro; Nakal, Mitsuru; Tada, Toshimasa 2 1996 \(\Phi\)-bounded harmonic functions and classification of Riemann surfaces. Zbl 0136.06702 Nakai, M. 2 1965 On Evans’ kernel. Zbl 0146.35205 Nakai, M. 2 1967 On a criterion of quasi-boundedness of positive harmonic functions. Zbl 0152.11603 Nakai, M. 2 1965 Royden’s map between Riemann surfaces. Zbl 0152.27402 Nakai, M. 2 1966 Point norms in the construction of harmonic forms. Zbl 0162.24903 Nakai, Mitsuru; Sario, Leo 2 1968 Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces. Zbl 1218.30117 Nakai, Mitsuru 2 2011 An application of capacitary functions to an inverse inclusion problem. Zbl 1254.30062 Nakai, Mitsuru 1 2011 Existence of singular harmonic functions. Zbl 1192.30014 Nakai, Mitsuru; Segawa, Shigeo 1 2010 Extremal functions for capacities. Zbl 1185.31002 Nakai, Mitsuru 6 2009 Types of afforested surfaces. Zbl 1162.30027 Nakai, Mitsuru; Segawa, Shigeo 2 2009 Surfaces carrying no singular functions. Zbl 1193.30058 Nakai, Mitsuru; Segawa, Shigeo; Tada, Toshimasa 1 2009 Evans potentials and the Riesz decomposition. Zbl 1175.31002 Nakai, Mitsuru 1 2008 The role of compactification theory in the type problem. Zbl 1169.30016 Nakai, Mitsuru 1 2008 The role of symmetry for pasting arcs in the type problem. Zbl 1190.30029 Nakai, Mitsuru; Segawa, Shigeo 1 2007 Existence of supercritical pasting arcs for two sheeted spheres. Zbl 1117.31001 Nakai, Mitsuru 1 2006 Types of pasting arcs in two sheeted spheres. Zbl 1121.31001 Nakai, Mitsuru 1 2006 Harmonic Liouville theorem for exterior domains revisited. Zbl 1088.30040 Nakai, Mitsuru; Tada, Toshimasa 1 2005 The role of completeness in the type problem for infinitely sheeted planes. Zbl 1060.30053 Nakai, Mitsuru; Segawa, Shigeo 3 2004 Types of complete infinitely sheeted planes. Zbl 1084.30049 Nakai, M. 1 2004 Existence of quasi-isometric mappings and Royden compactifications. Zbl 0947.30010 Nakai, Mitsuru 3 2000 A uniqueness theorem and the Myrberg phenomenon for a Zalcman domain. Zbl 0965.30024 Hayashi, Mikihiro; Kobayashi, Yasuyuki; Nakai, Mitsuru 2 2000 A uniqueness theorem and the Myberg phenomenon. Zbl 0977.30032 Hayashi, Mikihiro; Nakai, Mitsuru 2 1998 Monotoneity and homogeneity of Picard dimensions for signed radial densities. Zbl 0878.31004 Nakai, Mitsuru; Tada, Toshimasa 7 1997 Picard principle for negative planar potentials. Zbl 0878.31001 Nakai, Mitsuru; Tada, Toshimasa 2 1997 Regular and stable points in Dirichlet problem. Zbl 0873.31008 Ishikawa, Yujiro; Nakai, Mitsuru 1 1997 Brelot spaces of Schrödinger equations. Zbl 0864.31007 Nakai, Mitsuru 2 1996 A form of classical Picard principle. Zbl 0869.31002 Ishikawa, Yujiro; Nakal, Mitsuru; Tada, Toshimasa 2 1996 Potential theory on Royden compactifications. Zbl 0849.31016 Nakai, Mitsuru 1 1995 Picard dimensions for potentials of positive type. Zbl 0829.31006 Nakai, Mitsuru; Tada, Toshimasa 3 1994 Existence of Dirichlet finite harmonic measures on Euclidean balls. Zbl 0794.31007 Nakai, Mitsuru 2 1994 Existence of Dirichlet finite harmonic measures in nonlinear potential theory. Zbl 0795.31001 Nakai, Mitsuru 3 1993 Two sheeted discs and bounded analytic functions. Zbl 0795.30029 Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo 2 1993 Concrete representation of Green’s function and its application. Zbl 0809.31003 Nakai, Mitsuru; Tada, Toshimasa 2 1993 Bounded analytic functions on two sheeted discs. Zbl 0759.30018 Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo 4 1992 Riemannian manifolds with connected Royden harmonic boundaries. Zbl 0764.53032 Nakai, Mitsuru 3 1992 Dirichlet finite harmonic measures on Riemann surfaces. Zbl 0724.30034 Nakai, Mitsuru 3 1991 On the existence of \(H^{\infty{}}\)-barrier. Zbl 0752.30022 Nakai, Mitsuru 1 1991 Picard dimensions of rotation free signed densities. Zbl 0755.31010 Nakai, Mitsuru; Tada, Toshimasa 1 1991 On the Myrberg type phenomenon. Zbl 0698.30036 Hayashi, Mikihiro; Nakai, Mitsuru 2 1989 Comparison of Martin boundaries for Schrödinger operators. Zbl 0695.31010 Nakai, Mitsuru 1 1989 Extreme nonmonotoneity of the Picard principle. Zbl 0627.31002 Nakai, Mitsuru; Tada, Toshimasa 7 1988 Point separation by bounded analytic functions of a covering Riemann surface. Zbl 0627.30031 Hayashi, Mikihiro; Nakai, Mitsuru 4 1988 Valuations on meromorphic functions of bounded type. Zbl 0656.30026 Nakai, Mitsuru 1 1988 Singular points on compactifications of a Riemann surface. Zbl 0605.30045 Glasner, Moses; Nakai, Mitsuru 1 1986 Singular points on the Royden harmonic boundary. Zbl 0625.30047 Glasner, Moses; Nakai, Mitsuru 1 1986 Nonmonotonicity of Picard principle. Zbl 0598.30060 Nakai, Mitsuru; Tada, Toshimasa 5 1985 Harmonic and relative harmonic dimensions. Zbl 0587.30041 Nakai, Mitsuru; Sario, Leo 1 1985 Corona theorem with bounds for finitely sheeted disks. Zbl 0572.30038 Hara, Masaru; Nakai, Mitsuru 5 1984 The distribution of Picard dimensions. Zbl 0554.31006 Nakai, Mitsuru; Tada, Toshimasa 5 1984 The corona problem on finitely sheeted covering surfaces. Zbl 0565.30029 Nakai, Mitsuru 4 1983 Corona problem for Riemann surfaces of Parreau-Widom type. Zbl 0565.30028 Nakai, Mitsuru 4 1982 Existence of quasiconformal mappings between Riemannian manifolds. Zbl 0501.30017 Nakai, Mitsuru; Tanaka, Hiroshi 3 1982 Existence of quasiconformal mappings between Riemann surfaces. Zbl 0502.30016 Nakai, Mitsuru 3 1981 Images of reduction operators. Zbl 0458.30026 Glasner, Moses; Nakai, Mitsuru 2 1981 Harmonic functionals on open Riemann surfaces. Zbl 0417.30035 Nakai, Mitsuru; Sario, Leo 1 1981 Meromorphic function fields on Riemann surfaces. Zbl 0492.30033 Nakai, Mitsuru; Sario, Leo 1 1981 The roles of sets of nondensity points. Zbl 0438.30038 Glasner, Moses; Nakai, Mitsuru 1 1980 Strong Picard principle. Zbl 0443.31002 Nakai, Mitsuru 1 1980 The range of Picard dimensions. Zbl 0458.31001 Nakai, Mitsuru 3 1979 Inextremization and boundedness on open Riemann surfaces. Zbl 0416.30040 Glasner, Moses; Nakai, Mitsuru 1 1979 Picard principle for finite densities. Zbl 0402.31003 Nakai, Mitsuru 9 1978 An example on canonical isomorphism. Zbl 0408.31003 Nakai, Mitsuru 3 1978 Existence of biharmonic Green’s functions. Zbl 0374.31005 Nakai, Mitsuru; Sario, Leo 3 1978 Duffin’s function and Hadamard’s conjecture. Zbl 0338.31012 Nakai, Mitsuru; Sario, Leo 2 1978 Tôki covering surfaces and their applications. Zbl 0371.30016 Nakai, Mitsuru; Segawa, Shigeo 2 1978 Banach spaces of harmonic functions in \(L_p\). Zbl 0408.31001 Nakai, Mitsuru; Sario, Leo 1 1978 Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions. Zbl 0355.31001 Sario, Leo; Nakai, Mitsuru; Wang, Cecilia; Chung, Lung Ock 27 1977 Green’s function of the clamped punctured disk. Zbl 0382.31003 Nakai, Mitsuru; Sario, Leo 4 1977 On Hadamard’s problem for higher dimensions. Zbl 0345.31007 Nakai, Mitsuru; Sario, Leo 2 1977 Malformed subregions of Riemann surfaces. Zbl 0354.30015 Nakai, M. 2 1977 Harmonic dimensions related to Dirichlet integrals. Zbl 0338.30012 Nakai, M.; Segawa, S. 1 1977 A nonexistence test for biharmonic Green’s functions of clamped bodies. Zbl 0362.35011 Nakai, Mitsuru; Sario, Leo 1 1977 A strict inclusion related to biharmonic Green’s functions of clamped and simply supported bodies. Zbl 0392.31007 Nakai, Mitsuru; Sario, Leo 1 1977 A test of Picard principle for rotation free densities. II. Zbl 0341.30019 Kawamura, M.; Nakai, M. 10 1976 Picard principle and Riemann theorem. Zbl 0335.35036 Nakai, Mitsuru 8 1976 Extremizations and Dirichlet integrals on Riemann surfaces. Zbl 0323.30021 Nakai, M. 5 1976 The roles of nondensity points. Zbl 0341.31001 Glasner, Moses; Nakai, Mitsuru 3 1976 Parabolic Riemannian planes carrying biharmonic Green’s functions of the clamped plate. Zbl 0332.31006 Nakai, Mitsuru; Sario, Leo 1 1976 A test of Picard principle for rotation free densities. Zbl 0302.30028 Nakai, M. 14 1975 A test for Picard principle. Zbl 0304.31002 Nakai, Mitsuru 6 1975 Canonical isomorphisms of energy finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. Zbl 0304.31003 Nakai, Mitsuru 4 1975 A remark on Picard principle. II. Zbl 0337.31002 Nakai, Mitsuru 2 1975 Divisors on meromorphic function fields. Zbl 0368.46030 Nakai, Mitsuru 2 1975 Relative Evans potentials. Zbl 0325.31002 Nakai, Mitsuru 1 1975 Martin boundary over an isolated singularity of rotation free density. Zbl 0281.30012 Nakai, M. 16 1974 Densities without Evans solutions. Zbl 0299.31002 Nakai, Mitsuru 5 1974 A remark on Picard principle. Zbl 0336.31002 Nakai, Mitsuru 3 1974 Banach spaces of bounded solutions of \(\Delta u = Pu (P \geq 0)\) on hyperbolic Riemann surfaces. Zbl 0293.31005 Nakai, Mitsuru 2 1974 Order comparisons on canonical isomorphisms. Zbl 0271.31002 Nakai, Mitsuru 10 1973 Existence of bounded biharmonic functions. Zbl 0251.31003 Nakai, Mitsuru; Sario, Leo 10 1973 Existence of Dirichlet finite biharmonic functions. Zbl 0264.31008 Nakai, Mitsuru; Sario, Leo 8 1973 Uniform densities on hyperbolic Riemann surfaces. Zbl 0267.31009 Nakai, Mitsuru 3 1973 Dirichlet finite biharmonic functions on the plane with distorted metrics. Zbl 0268.31009 Nakai, Mitsuru 3 1973 Quasiharmonic classification of Riemannian manifolds. Zbl 0229.31006 Nakai, Mitsuru; Sario, Leo 13 1972 Royden algebras and quasi-isometries of Riemannian manifolds. Zbl 0241.31014 Nakai, Mitsuru 6 1972 Biharmonic functions on Riemannian manifolds. Zbl 0253.31004 Nakai, Mitsuru; Sario, Leo 5 1972 Existence of bounded Dirichlet finite biharmonic functions. Zbl 0236.31003 Nakai, Mitsuru; Sario, Leo 5 1972 Riemannian manifolds with discontinuous metrics and the Dirichlet integral. Zbl 0212.45002 Glasner, M.; Nakai, M. 3 1972 The equation \(\Delta u=Pu\) on the unit disk with almost rotation free \(P\geq 0\). Zbl 0229.31002 Nakai, Mitsuru 3 1972 Radon-Nikodym densities and Jacobians. Zbl 0198.38901 Nakai, Mitsuru 2 1972 Riemannian manifolds with discontinuous metrics and the Dirichlet integral. Zbl 0231.31011 Glasner, Moses; Nakai, Mitsuru 1 1972 Dirichlet finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. Zbl 0226.31004 Nakai, Mitsuru 13 1971 Dirichlet finite solutions of \(\delta\)u = Pu, and classification of Riemann surfaces. Zbl 0223.30010 Nakai, Mitsuru 12 1971 Biharmonic classification of Riemannian manifolds. Zbl 0253.31011 Nakai, Mitsuru; Sario, Leo 8 1971 Dirichlet finite biharmonic functions with Dirichlet finite Laplacians. Zbl 0263.31006 Nakai, Mitsuru; Sario, Leo 6 1971 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 255 Authors 92 Nakai, Mitsuru 30 Sario, Leo 21 Glasner, Moses 14 Tada, Toshimasa 10 Wang, Cecilia Yuen-Chiann 9 Segawa, Shigeo 8 Schiff, Joel L. 5 Chung, Lung Ock 5 Hansen, Wolfhard 5 Hara, Masaru 5 Hayashi, Mikihiro 5 Lee, Yong Hah 5 Vodop’yanov, Sergeĭ Konstantinovich 4 Grigor’yan, Alexander Asaturovich 4 Hamano, Sachiko 4 Kawamura, Michihiko 4 Minda, Carl David 4 Murata, Minoru 4 Shiba, Masakazu 4 Shiga, Hiroshige 3 Abatangelo, Nicola 3 Bagby, Thomas 3 Bikchantaev, Ildar Akhmedovich 3 Boukricha, Abderrahman 3 Hasumi, Morisuke 3 Hejhal, Dennis A. 3 Jaramillo, Jesús Angel 3 Napier, Terrence 3 Ramachandran, Mohan 3 Rodin, Burton 3 Rodríguez García, José Manuel 3 Sakai, Makoto 3 Tanaka, Hiroshi 3 Ukhlov, Alexander Dadar-Oolovich 3 Valtorta, Daniele 3 Walsh, Bertram 3 Yamasaki, Maretsugu 2 Basmajian, Ara S. 2 Chow, Kwang-Nan 2 Coffman, Charles V. 2 Cohen, Joel M. 2 Colonna, Flavia 2 Fujikawa, Ege 2 Fujimoto, Hirotaka 2 Gol’dshtein, Vladimir Mikhailovich 2 Ishida, Hisashi 2 Jarohs, Sven 2 Jiménez-Sevilla, Mar 2 Kishi, Masanori 2 Kobayashi, Yasuyuki 2 Kurata, Hisayasu 2 Kwon, Young K. 2 Levin, Genadi M. 2 Lewis, Lawrence G. 2 Lyubich, Mikhail 2 Maitani, Fumio 2 Masaoka, Hiroaki 2 Matsumoto, Kikuji 2 Matsuzaki, Katsuhiko 2 Netuka, Ivan 2 Nicholls, Peter J. 2 Nickel, Paul A. 2 Ow, Wellington Ham 2 Portilla, Ana 2 Puls, Michael J. 2 Rangel, Yenny C. 2 Richards, Ian 2 Sánchez-González, Luis 2 Scheinberg, Stephen 2 Singer, Ivan J. 2 Singman, David 2 Skeath, J. E. 2 Yamaguchi, Hiroshi 2 Yamashita, Shinji 1 Agranovsky, Mark L. 1 Alhemedan, Suad 1 Álvarez López, Jesús Antonio 1 Anandam, I. Victor 1 Anandam, Victor 1 Andrist, Rafael B. 1 Arnone, Eleonora 1 Atsuji, Atsushi 1 Avila, Artur 1 Aytuna, Aydin 1 Azagra, Daniel 1 Ballico, Edoardo 1 Benyaiche, Allami 1 Bergweiler, Walter 1 Björn, Anders 1 Björn, Jana 1 Blanchet, Pierre 1 Boubekeur, Sihem 1 Boucetta, Mohamed 1 Bozdaḡ, Şerife Nur 1 Brudnyi, Alexander 1 Bukhvalov, Alexander V. 1 Burckel, Robert B. 1 Candel, Alberto 1 Chibrikova, Lyubov’ Ivanovna 1 Damlakhi, Moustafa K. ...and 155 more Authors all top 5 Cited in 94 Serials 46 Nagoya Mathematical Journal 21 Transactions of the American Mathematical Society 21 Kodai Mathematical Seminar Reports 20 Journal d’Analyse Mathématique 19 Proceedings of the Japan Academy. Series A 17 Bulletin of the American Mathematical Society 17 Proceedings of the Japan Academy 16 Proceedings of the American Mathematical Society 14 Kodai Mathematical Journal 13 Annales de l’Institut Fourier 13 Mathematische Zeitschrift 11 Mathematische Annalen 11 Tôhoku Mathematical Journal. Second Series 6 Israel Journal of Mathematics 5 Journal of Mathematical Analysis and Applications 5 Potential Analysis 4 Acta Mathematica 4 Inventiones Mathematicae 4 Journal of Soviet Mathematics 4 Siberian Mathematical Journal 3 Arkiv för Matematik 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of the Mathematical Society of Japan 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Revista Matemática Iberoamericana 3 The Journal of Geometric Analysis 3 Russian Mathematics 2 Archive for Rational Mechanics and Analysis 2 Mathematical Notes 2 Studia Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Hokkaido Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 Conformal Geometry and Dynamics 2 Complex Variables and Elliptic Equations 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Japan Journal of Industrial and Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Opuscula Mathematica 1 Sbornik: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Revista Matemática Complutense 1 Interdisciplinary Information Sciences (IIS) 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Computational Methods and Function Theory 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 International Electronic Journal of Geometry 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Problemy Analiza. Issues of Analysis 1 Analysis and Geometry in Metric Spaces 1 Complex Analysis and its Synergies 1 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematics in Engineering 1 Annales Fennici Mathematici all top 5 Cited in 31 Fields 163 Potential theory (31-XX) 160 Functions of a complex variable (30-XX) 60 Partial differential equations (35-XX) 39 Differential geometry (53-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Functional analysis (46-XX) 20 Several complex variables and analytic spaces (32-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year