Hayashi, Mikihiro; Nakai, Mitsuru A principal function problem and the field of meromorphic functions. (English) Zbl 1294.30090 J. Anal. Math. 121, 127-140 (2013). MSC: 30F99 30D30 PDFBibTeX XMLCite \textit{M. Hayashi} and \textit{M. Nakai}, J. Anal. Math. 121, 127--140 (2013; Zbl 1294.30090) Full Text: DOI
Masaoka, Hiroaki; Nakai, Mitsuru Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces. (English) Zbl 1262.30038 Tohoku Math. J. (2) 64, No. 2, 233-259 (2012). Reviewer: Gou Nakamura (Toyota) MSC: 30F20 30F25 30F15 31A15 PDFBibTeX XMLCite \textit{H. Masaoka} and \textit{M. Nakai}, Tôhoku Math. J. (2) 64, No. 2, 233--259 (2012; Zbl 1262.30038) Full Text: DOI Euclid
Nakai, Mitsuru Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded. (English) Zbl 1264.30027 J. Math. Soc. Japan 64, No. 1, 201-229 (2012). Reviewer: Gou Nakamura (Toyota) MSC: 30F20 30F25 30F15 31A05 PDFBibTeX XMLCite \textit{M. Nakai}, J. Math. Soc. Japan 64, No. 1, 201--229 (2012; Zbl 1264.30027) Full Text: DOI
Nakai, Mitsuru Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces. (English) Zbl 1254.30063 Proc. Japan Acad., Ser. A 87, No. 8, 130-135 (2011). MSC: 30F15 46B26 PDFBibTeX XMLCite \textit{M. Nakai}, Proc. Japan Acad., Ser. A 87, No. 8, 130--135 (2011; Zbl 1254.30063) Full Text: DOI
Nakai, Mitsuru Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces. (English) Zbl 1218.30117 Proc. Japan Acad., Ser. A 87, No. 1, 1-4 (2011). MSC: 30F20 30F25 30F15 46A25 PDFBibTeX XMLCite \textit{M. Nakai}, Proc. Japan Acad., Ser. A 87, No. 1, 1--4 (2011; Zbl 1218.30117) Full Text: DOI
Nakai, Mitsuru; Segawa, Shigeo; Tada, Toshimasa Surfaces carrying no singular functions. (English) Zbl 1193.30058 Proc. Japan Acad., Ser. A 85, No. 10, 163-166 (2009). Reviewer: L. R. Sons (DeKalb) MSC: 30F20 30F15 30F25 PDFBibTeX XMLCite \textit{M. Nakai} et al., Proc. Japan Acad., Ser. A 85, No. 10, 163--166 (2009; Zbl 1193.30058) Full Text: DOI
Nakai, Mitsuru Extremal functions for capacities. (English) Zbl 1185.31002 J. Math. Soc. Japan 61, No. 2, 345-361 (2009). Reviewer: D. A. Brannan (Milton Keynes) MSC: 31A15 30F25 PDFBibTeX XMLCite \textit{M. Nakai}, J. Math. Soc. Japan 61, No. 2, 345--361 (2009; Zbl 1185.31002) Full Text: DOI Link
Nakai, Mitsuru The dependence of capacities on moving branch points. (English) Zbl 1133.31002 Nagoya Math. J. 186, 1-27 (2007). Reviewer: D. A. Brannan (Milton Keynes) MSC: 31A15 30C85 30F15 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 186, 1--27 (2007; Zbl 1133.31002) Full Text: DOI Euclid
Nakai, Mitsuru; Tada, Toshimasa Invariance of Picard dimensions under basic perturbations. (English) Zbl 1127.31004 Potential Anal. 27, No. 3, 199-215 (2007). MSC: 31C35 35J10 31B05 31B25 31B35 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{T. Tada}, Potential Anal. 27, No. 3, 199--215 (2007; Zbl 1127.31004) Full Text: DOI
Nakai, Mitsuru Dependence of Dirichlet integrals upon lumps of Riemann surfaces. (English) Zbl 1108.31002 Proc. Japan Acad., Ser. A 81, No. 7, 131-133 (2005). Reviewer: Yusuf Avci (Ýstanbul) MSC: 31A15 31C15 30C85 30F15 PDFBibTeX XMLCite \textit{M. Nakai}, Proc. Japan Acad., Ser. A 81, No. 7, 131--133 (2005; Zbl 1108.31002) Full Text: DOI
Nakai, Mitsuru Harmonic functions expressible as Dirichlet solutions. (English) Zbl 0929.31002 Kodai Math. J. 22, No. 1, 116-130 (1999). Reviewer: Stephen Gardiner (Dublin) MSC: 31B10 31B05 31B20 PDFBibTeX XMLCite \textit{M. Nakai}, Kodai Math. J. 22, No. 1, 116--130 (1999; Zbl 0929.31002) Full Text: DOI
Hayashi, Mikihiro; Nakai, Mitsuru A uniqueness theorem and the Myberg phenomenon. (English) Zbl 0977.30032 J. Anal. Math. 76, 109-136 (1998). Reviewer: H.Köditz (Hannover) MSC: 30H05 30D50 30F99 46J15 PDFBibTeX XMLCite \textit{M. Hayashi} and \textit{M. Nakai}, J. Anal. Math. 76, 109--136 (1998; Zbl 0977.30032) Full Text: DOI
Nakai, Mitsuru Existence of Dirichlet finite harmonic measures on Euclidean balls. (English) Zbl 0794.31007 Nagoya Math. J. 133, 85-125 (1994). Reviewer: T.Kilpeläinen (Jyväskylä) MSC: 31C45 35J70 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 133, 85--125 (1994; Zbl 0794.31007) Full Text: DOI
Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo Two sheeted discs and bounded analytic functions. (English) Zbl 0795.30029 J. Anal. Math. 61, 293-325 (1993). Reviewer: H.Köditz (Hannover) MSC: 30D50 30F20 30F99 PDFBibTeX XMLCite \textit{M. Hayashi} et al., J. Anal. Math. 61, 293--325 (1993; Zbl 0795.30029) Full Text: DOI
Nakai, Mitsuru Riemannian manifolds with connected Royden harmonic boundaries. (English) Zbl 0764.53032 Duke Math. J. 67, No. 3, 589-625 (1992). Reviewer: G.Tsagas (Thessaloniki) MSC: 53C20 PDFBibTeX XMLCite \textit{M. Nakai}, Duke Math. J. 67, No. 3, 589--625 (1992; Zbl 0764.53032) Full Text: DOI
Hayashi, Mikihiro; Nakai, Mitsuru; Segawa, Shigeo Bounded analytic functions on two sheeted discs. (English) Zbl 0759.30018 Trans. Am. Math. Soc. 333, No. 2, 799-819 (1992). Reviewer: H.Köditz (Hannover) MSC: 30F20 30D50 30D55 46J10 PDFBibTeX XMLCite \textit{M. Hayashi} et al., Trans. Am. Math. Soc. 333, No. 2, 799--819 (1992; Zbl 0759.30018) Full Text: DOI
Nakai, Mitsuru Valuations on meromorphic functions of bounded type. (English) Zbl 0656.30026 Trans. Am. Math. Soc. 309, No. 1, 231-252 (1988). Reviewer: F.Forelli MSC: 30D55 PDFBibTeX XMLCite \textit{M. Nakai}, Trans. Am. Math. Soc. 309, No. 1, 231--252 (1988; Zbl 0656.30026) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru Singular points on compactifications of a Riemann surface. (English) Zbl 0605.30045 Isr. J. Math. 55, 15-32 (1986). Reviewer: J.L.Schiff MSC: 30F99 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Isr. J. Math. 55, 15--32 (1986; Zbl 0605.30045) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru Order comparison of quasibounded solutions of d*du=uP on Riemann surfaces. (English) Zbl 0504.30036 Arch. Math. 39, 463-475 (1982). MSC: 30F20 31A35 35J15 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Arch. Math. 39, 463--475 (1982; Zbl 0504.30036) Full Text: DOI
Nakai, Mitsuru; Tanaka, Hiroshi Existence of quasiconformal mappings between Riemannian manifolds. (English) Zbl 0501.30017 Kodai Math. J. 5, 122-131 (1982). MSC: 30C62 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{H. Tanaka}, Kodai Math. J. 5, 122--131 (1982; Zbl 0501.30017) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru A note on images of reduction operators. (English) Zbl 0458.30027 Tohoku Math. J., II. Ser. 33, 91-100 (1981). MSC: 30F20 31A20 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Tôhoku Math. J. (2) 33, 91--100 (1981; Zbl 0458.30027) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru Images of reduction operators. (English) Zbl 0458.30026 Arch. Ration. Mech. Anal. 75, 387-406 (1981). MSC: 30F20 31A20 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Arch. Ration. Mech. Anal. 75, 387--406 (1981; Zbl 0458.30026) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru The roles of sets of nondensity points. (English) Zbl 0438.30038 Isr. J. Math. 36, 1-12 (1980). MSC: 30F20 31A20 30F15 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Isr. J. Math. 36, 1--12 (1980; Zbl 0438.30038) Full Text: DOI
Glasner, Moses; Nakai, Mitsuru Inextremization and boundedness on open Riemann surfaces. (English) Zbl 0416.30040 Math. Z. 168, 1-13 (1979). MSC: 30F20 30F25 31A99 PDFBibTeX XMLCite \textit{M. Glasner} and \textit{M. Nakai}, Math. Z. 168, 1--13 (1979; Zbl 0416.30040) Full Text: DOI EuDML
Nakai, Mitsuru; Sario, Leo Manifolds with strong harmonic boundaries but without Green’s functions of clamped bodies. (English) Zbl 0343.31012 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 3, 665-670 (1976). MSC: 31C99 53C25 58J99 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 3, 665--670 (1976; Zbl 0343.31012) Full Text: Numdam EuDML
Nakai, Mitsuru; Segawa, Shigeo On a subsurface of Toki surface. (English) Zbl 0342.30010 Tohoku Math. J., II. Ser. 28, 591-600 (1976). MSC: 30F20 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{S. Segawa}, Tôhoku Math. J. (2) 28, 591--600 (1976; Zbl 0342.30010) Full Text: DOI
Nakai, Mitsuru; Sario, Leo Harmonic functions on a Riemannian ball. (English) Zbl 0336.31007 Math. Proc. Camb. Philos. Soc. 80, 277-282 (1976). MSC: 31B30 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Math. Proc. Camb. Philos. Soc. 80, 277--282 (1976; Zbl 0336.31007) Full Text: DOI
Nakai, Mitsuru Densities without unbounded positive solutions. (English) Zbl 0325.31003 J. Anal. Math. 28, 300-302 (1975). MSC: 31A25 35J65 31D05 PDFBibTeX XMLCite \textit{M. Nakai}, J. Anal. Math. 28, 300--302 (1975; Zbl 0325.31003) Full Text: DOI
Nakai, Mitsuru Relative Evans potentials. (English) Zbl 0325.31002 Kōdai Math. Semin. Rep. 26, 478-484 (1975). MSC: 31A25 30F30 30E25 35J65 PDFBibTeX XMLCite \textit{M. Nakai}, Kōdai Math. Semin. Rep. 26, 478--484 (1975; Zbl 0325.31002) Full Text: DOI
Nakai, Mitsuru Canonical isomorphisms of energy finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. (English) Zbl 0304.31003 Nagoya Math. J. 56, 79-84 (1975). MSC: 31A25 35J25 30F20 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 56, 79--84 (1975; Zbl 0304.31003) Full Text: DOI
Nakai, Mitsuru Densities without Evans solutions. (English) Zbl 0299.31002 Tohoku Math. J., II. Ser. 26, 363-370 (1974). MSC: 31A05 35J25 PDFBibTeX XMLCite \textit{M. Nakai}, Tôhoku Math. J. (2) 26, 363--370 (1974; Zbl 0299.31002) Full Text: DOI
Nakai, Mitsuru Banach spaces of bounded solutions of \(\Delta u = Pu (P \geq 0)\) on hyperbolic Riemann surfaces. (English) Zbl 0293.31005 Nagoya Math. J. 53, 141-155 (1974). MSC: 31A35 35J15 30F25 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 53, 141--155 (1974; Zbl 0293.31005) Full Text: DOI
Nakai, Mitsuru Order comparisons on canonical isomorphisms. (English) Zbl 0271.31002 Nagoya Math. J. 50, 67-87 (1973). MSC: 31A25 35J15 30F30 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 50, 67--87 (1973; Zbl 0271.31002) Full Text: DOI
Nakai, Mitsuru Dirichlet finite biharmonic functions on the plane with distorted metrics. (English) Zbl 0268.31009 Nagoya Math. J. 51, 131-135 (1973). MSC: 31C99 31A30 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 51, 131--135 (1973; Zbl 0268.31009) Full Text: DOI
Nakai, Mitsuru Uniform densities on hyperbolic Riemann surfaces. (English) Zbl 0267.31009 Nagoya Math. J. 51, 1-24 (1973). MSC: 31C99 35J15 30F20 31D05 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 51, 1--24 (1973; Zbl 0267.31009) Full Text: DOI
Nakai, Mitsuru Circle means of Green’s functions. (English) Zbl 0258.31001 Nagoya Math. J. 49, 1-7 (1973). MSC: 31A05 31A20 30F25 PDFBibTeX XMLCite \textit{M. Nakai}, Nagoya Math. J. 49, 1--7 (1973; Zbl 0258.31001) Full Text: DOI
Nakai, Mitsuru; Sario, Leo Quasiharmonic classification of Riemannian manifolds. (English) Zbl 0229.31006 Proc. Am. Math. Soc. 31, 165-169 (1972). MSC: 31C12 31B05 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Proc. Am. Math. Soc. 31, 165--169 (1972; Zbl 0229.31006) Full Text: DOI
Nakai, Mitsuru The equation \(\Delta u=Pu\) on the unit disk with almost rotation free \(P\geq 0\). (English) Zbl 0229.31002 J. Differ. Equations 11, 307-320 (1972). MSC: 31A25 30F20 PDFBibTeX XMLCite \textit{M. Nakai}, J. Differ. Equations 11, 307--320 (1972; Zbl 0229.31002) Full Text: DOI
Nakai, Mitsuru; Sario, Leo Dirichlet finite biharmonic functions with Dirichlet finite Laplacians. (English) Zbl 0263.31006 Math. Z. 122, 203-216 (1971). MSC: 31A30 31B30 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Math. Z. 122, 203--216 (1971; Zbl 0263.31006) Full Text: DOI EuDML
Nakai, Mitsuru; Sario, Leo Biharmonic classification of Riemannian manifolds. (English) Zbl 0253.31011 Bull. Am. Math. Soc. 77, 432-436 (1971). MSC: 31B30 53C20 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Bull. Am. Math. Soc. 77, 432--436 (1971; Zbl 0253.31011) Full Text: DOI
Nakai, Mitsuru The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\). (English) Zbl 0226.31006 Tohoku Math. J., II. Ser. 23, 413-431 (1971). MSC: 31C12 31A35 31B35 34B27 PDFBibTeX XMLCite \textit{M. Nakai}, Tôhoku Math. J. (2) 23, 413--431 (1971; Zbl 0226.31006) Full Text: DOI
Nakai, Mitsuru Dirichlet finite solutions of \(\Delta u=Pu\) on open Riemann surfaces. (English) Zbl 0226.31004 Kōdai Math. Semin. Rep. 23, 385-397 (1971). MSC: 31A35 30F20 31C25 PDFBibTeX XMLCite \textit{M. Nakai}, Kōdai Math. Semin. Rep. 23, 385--397 (1971; Zbl 0226.31004) Full Text: DOI
Nakai, Mitsuru Dirichlet finite solutions of \(\delta\)u = Pu, and classification of Riemann surfaces. (English) Zbl 0223.30010 Bull. Am. Math. Soc. 77, 381-385 (1971). MSC: 30F20 30F10 30F15 PDFBibTeX XMLCite \textit{M. Nakai}, Bull. Am. Math. Soc. 77, 381--385 (1971; Zbl 0223.30010) Full Text: DOI
Glasner, Moses; Katz, Richard; Nakai, M. Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\). (English) Zbl 0213.12305 Math. Z. 121, 233-238 (1971). MSC: 31C12 PDFBibTeX XMLCite \textit{M. Glasner} et al., Math. Z. 121, 233--238 (1971; Zbl 0213.12305) Full Text: DOI EuDML
Glasner, M.; Katz, Richard; Nakai, M. A remark on classification of Riemannian manifolds with respect to \(\Delta u=Pu\). (English) Zbl 0212.45003 Bull. Am. Math. Soc. 77, 425-428 (1971). MSC: 31C12 PDFBibTeX XMLCite \textit{M. Glasner} et al., Bull. Am. Math. Soc. 77, 425--428 (1971; Zbl 0212.45003) Full Text: DOI
Nakai, Mitsuru; Sario, Leo Continuity of mapping of vector lattices with norms and seminorms. (English) Zbl 0211.42502 Kōdai Math. Semin. Rep. 22, 473-479 (1970). MSC: 46A40 46B40 46B03 PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Kōdai Math. Semin. Rep. 22, 473--479 (1970; Zbl 0211.42502) Full Text: DOI
Nakai, Mitsuru; Sario, Leo A new operator for elliptic equations and the \(P\)-compactification for \(\Delta u=Pu\). (English) Zbl 0196.12703 Math. Ann. 189, 242-256 (1970). PDFBibTeX XMLCite \textit{M. Nakai} and \textit{L. Sario}, Math. Ann. 189, 242--256 (1970; Zbl 0196.12703) Full Text: DOI EuDML