Di Biase, Fausto; Krantz, Steven G. Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions. (English) Zbl 1477.32013 J. Geom. Anal. 31, No. 7, 7184-7296 (2021). MSC: 32A40 31B25 32A35 28A15 PDF BibTeX XML Cite \textit{F. Di Biase} and \textit{S. G. Krantz}, J. Geom. Anal. 31, No. 7, 7184--7296 (2021; Zbl 1477.32013) Full Text: DOI OpenURL
Eriksson, Sirkka-Liisa; Kaarakka, Terhi Hyperbolic harmonic functions and hyperbolic Brownian motion. (English) Zbl 1456.60194 Adv. Appl. Clifford Algebr. 30, No. 5, Paper No. 72, 12 p. (2020). MSC: 60J45 30G35 31C45 58J65 PDF BibTeX XML Cite \textit{S.-L. Eriksson} and \textit{T. Kaarakka}, Adv. Appl. Clifford Algebr. 30, No. 5, Paper No. 72, 12 p. (2020; Zbl 1456.60194) Full Text: DOI OpenURL
Biagi, Stefano; Lanconelli, Ermanno Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators. (English) Zbl 1448.35060 J. Differ. Equations 269, No. 11, 9680-9719 (2020). Reviewer: Yehuda Pinchover (Haifa) MSC: 35B50 31C05 35H20 35J70 PDF BibTeX XML Cite \textit{S. Biagi} and \textit{E. Lanconelli}, J. Differ. Equations 269, No. 11, 9680--9719 (2020; Zbl 1448.35060) Full Text: DOI arXiv OpenURL
Battaglia, Erika; Biagi, Stefano Superharmonic functions associated with hypoelliptic non-Hörmander operators. (English) Zbl 1444.35028 Commun. Contemp. Math. 22, No. 4, Article ID 1850071, 32 p. (2020). Reviewer: Paolo Musolino (Padova) MSC: 35H20 31B05 35J70 PDF BibTeX XML Cite \textit{E. Battaglia} and \textit{S. Biagi}, Commun. Contemp. Math. 22, No. 4, Article ID 1850071, 32 p. (2020; Zbl 1444.35028) Full Text: DOI OpenURL
Ancona, Alano; Marcus, Moshe Positive solutions of a class of semilinear equations with absorption and Schrödinger equations. (English. French summary) Zbl 1320.31014 J. Math. Pures Appl. (9) 104, No. 3, 587-618 (2015). MSC: 31C15 31C45 35C15 35J60 PDF BibTeX XML Cite \textit{A. Ancona} and \textit{M. Marcus}, J. Math. Pures Appl. (9) 104, No. 3, 587--618 (2015; Zbl 1320.31014) Full Text: DOI arXiv OpenURL
Kumaresan, Premalatha; Narayanaraju, Nathiya A non-Laplace harmonic structure in infinite networks. (English) Zbl 1319.31012 Eur. J. Math. 1, No. 2, 387-403 (2015). MSC: 31C20 31D05 PDF BibTeX XML Cite \textit{P. Kumaresan} and \textit{N. Narayanaraju}, Eur. J. Math. 1, No. 2, 387--403 (2015; Zbl 1319.31012) Full Text: DOI OpenURL
Ancona, Alano Elliptic operators, conormal derivatives and positive parts of functions (with an appendix by Haïm Brezis). (English) Zbl 1173.58007 J. Funct. Anal. 257, No. 7, 2124-2158 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 31B35 PDF BibTeX XML Cite \textit{A. Ancona}, J. Funct. Anal. 257, No. 7, 2124--2158 (2009; Zbl 1173.58007) Full Text: DOI OpenURL
Ancona, Alano Kato’s inequality and Kato’s inequality up to the boundary. (Inégalité de Kato et inégalité de Kato jusqu’au bord.) (French. Abridged English version) Zbl 1155.31004 C. R., Math., Acad. Sci. Paris 346, No. 17-18, 939-944 (2008). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B25 35J15 PDF BibTeX XML Cite \textit{A. Ancona}, C. R., Math., Acad. Sci. Paris 346, No. 17--18, 939--944 (2008; Zbl 1155.31004) Full Text: DOI OpenURL
Ferrari, Fausto; Salsa, Sandro Subsolutions of elliptic operators in divergence form and application to two-phase free boundary problems. (English) Zbl 1188.35070 Bound. Value Probl. 2007, Article ID 57049, 21 p. (2007). MSC: 35J60 35J25 35B65 35R35 PDF BibTeX XML Cite \textit{F. Ferrari} and \textit{S. Salsa}, Bound. Value Probl. 2007, Article ID 57049, 21 p. (2007; Zbl 1188.35070) Full Text: DOI EuDML OpenURL
Anandam, V.; Othman, S. I. Riesz-Martin representation for positive super-polyharmonic functions in a Riemannian manifold. (English) Zbl 1146.31008 Int. J. Math. Math. Sci. 2006, No. 8, 92176, 9 p. (2006). Reviewer: Victor Anandam (Kerala) MSC: 31C12 31A10 31A30 PDF BibTeX XML Cite \textit{V. Anandam} and \textit{S. I. Othman}, Int. J. Math. Math. Sci. 2006, No. 8, 92176, 9 p. (2006; Zbl 1146.31008) Full Text: DOI EuDML OpenURL
Batakis, Athanasios Dimension of the harmonic measure of non-homogeneous Cantor sets. (English) Zbl 1113.31001 Ann. Inst. Fourier 56, No. 6, 1617-1631 (2006). Reviewer: Uta Freiberg (Canberra) MSC: 31A15 28A80 PDF BibTeX XML Cite \textit{A. Batakis}, Ann. Inst. Fourier 56, No. 6, 1617--1631 (2006; Zbl 1113.31001) Full Text: DOI arXiv Numdam EuDML OpenURL
Bajunaid, Ibtesam; Cohen, Joel M.; Colonna, Flavia; Singman, David Trees as Brelot spaces. (English) Zbl 1042.31004 Adv. Appl. Math. 30, No. 4, 706-745 (2003); corrigendum ibid. 47, No. 2, 401-402 (2011). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31C20 05C05 54D45 PDF BibTeX XML Cite \textit{I. Bajunaid} et al., Adv. Appl. Math. 30, No. 4, 706--745 (2003; Zbl 1042.31004) Full Text: DOI OpenURL
Ancona, Alano; Chevallier, Nicolas Sur la convergence radiale des potentiels associés à l’équation de Helmholtz. (About radial convergence of potentials associated to Helmholtz’ equation). (French) Zbl 0952.31005 Bull. Soc. Math. Fr. 128, No. 2, 249-281 (2000). Reviewer: Zoran Vondraček (Zagreb) MSC: 31C05 31C15 31C35 60J45 PDF BibTeX XML Cite \textit{A. Ancona} and \textit{N. Chevallier}, Bull. Soc. Math. Fr. 128, No. 2, 249--281 (2000; Zbl 0952.31005) Full Text: DOI Numdam EuDML Link OpenURL
Ancona, Alano; Lyons, Russell; Peres, Yuval Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths. (English) Zbl 0945.60063 Ann. Probab. 27, No. 2, 970-989 (1999). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J45 60F15 31C25 PDF BibTeX XML Cite \textit{A. Ancona} et al., Ann. Probab. 27, No. 2, 970--989 (1999; Zbl 0945.60063) Full Text: DOI OpenURL
Damek, Ewa Pointwise estimates for the Poisson kernel on \(NA\) groups by the Ancona method. (English) Zbl 0876.22008 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 5, No. 3, 421-441 (1996). Reviewer: A.F.M.ter Elst (Eindhoven) MSC: 22E25 22E30 PDF BibTeX XML Cite \textit{E. Damek}, Ann. Fac. Sci. Toulouse, Math. (6) 5, No. 3, 421--441 (1996; Zbl 0876.22008) Full Text: DOI Numdam EuDML OpenURL
Hwang, Jun Shung On a problem of Doob about angular and fine cluster values. (English) Zbl 0593.31005 Tôhoku Math. J., II. Ser. 37, 307-321 (1985). Reviewer: I.Laine MSC: 31A20 30D45 30D50 PDF BibTeX XML Cite \textit{J. S. Hwang}, Tôhoku Math. J. (2) 37, 307--321 (1985; Zbl 0593.31005) Full Text: DOI OpenURL
Hwang, J. S. A difference between minimal and ordinary fine topology in function theory. (English) Zbl 0504.30023 Proc. Am. Math. Soc. 85, 239-244 (1982). MSC: 30D50 31A15 31A20 PDF BibTeX XML Cite \textit{J. S. Hwang}, Proc. Am. Math. Soc. 85, 239--244 (1982; Zbl 0504.30023) Full Text: DOI OpenURL
Loeb, Peter A. A construction of representing measures for elliptic and parabolic differential equations. (English) Zbl 0469.31010 Math. Ann. 260, 51-56 (1982). MSC: 31D05 31B35 60J45 PDF BibTeX XML Cite \textit{P. A. Loeb}, Math. Ann. 260, 51--56 (1982; Zbl 0469.31010) Full Text: DOI EuDML OpenURL
Charrier, P. Continuite de la solution d’un problème d’obstacle et application. (French) Zbl 0478.35052 Commun. Partial Differ. Equations 6, 719-740 (1981). MSC: 35J85 35B65 49J40 PDF BibTeX XML Cite \textit{P. Charrier}, Commun. Partial Differ. Equations 6, 719--740 (1981; Zbl 0478.35052) Full Text: DOI OpenURL
Loeb, Peter A. A regular metrizable boundary for solutions of elliptic and parabolic differential equations. (English) Zbl 0435.31008 Math. Ann. 251, 43-50 (1980). MSC: 31D05 31C25 PDF BibTeX XML Cite \textit{P. A. Loeb}, Math. Ann. 251, 43--50 (1980; Zbl 0435.31008) Full Text: DOI EuDML OpenURL
Leutwiler, Heinz Harmonic functions of bounded mean oscillation. (English) Zbl 0397.31008 Math. Ann. 244, 167-183 (1979). MSC: 31C05 31D05 PDF BibTeX XML Cite \textit{H. Leutwiler}, Math. Ann. 244, 167--183 (1979; Zbl 0397.31008) Full Text: DOI EuDML OpenURL
Feyel, Denis La quasi-continuité dans l’étude du problème de Dirichlet. Effiliment minimal abstrait et ensembles convexes compacts. (French) Zbl 0397.31007 Ann. Inst. Fourier 29, No. 3, 223-237 (1979). MSC: 31B20 31D05 35J25 PDF BibTeX XML Cite \textit{D. Feyel}, Ann. Inst. Fourier 29, No. 3, 223--237 (1979; Zbl 0397.31007) Full Text: DOI Numdam EuDML OpenURL
Feyel, Denis; de la Pradelle, Arnaud Topologies fines et compactifications associées à certains espaces de Dirichlet. (French) Zbl 0357.31009 Ann. Inst. Fourier 27, No. 4, 121-146 (1977). MSC: 31C25 PDF BibTeX XML Cite \textit{D. Feyel} and \textit{A. de la Pradelle}, Ann. Inst. Fourier 27, No. 4, 121--146 (1977; Zbl 0357.31009) Full Text: DOI Numdam EuDML OpenURL
Smyrnelis, Emmanuel P. Axiomatique des fonctions biharmoniques. II. (French) Zbl 0325.31020 Ann. Inst. Fourier 26, No. 3, 1-47 (1976). MSC: 31D05 35J45 35K40 PDF BibTeX XML Cite \textit{E. P. Smyrnelis}, Ann. Inst. Fourier 26, No. 3, 1--47 (1977; Zbl 0325.31020) Full Text: DOI Numdam EuDML OpenURL
Loeb, Peter A. Applications of nonstandard analysis to ideal boundaries in potential theory. (English) Zbl 0346.31007 Isr. J. Math. 25, 154-187 (1976). MSC: 31D05 31B20 31C99 26E35 PDF BibTeX XML Cite \textit{P. A. Loeb}, Isr. J. Math. 25, 154--187 (1976; Zbl 0346.31007) Full Text: DOI OpenURL
Tissier, Gilles Quasi-analyticité et approximation sur la frontière d’un ouvert quelconque, dans la théorie axiomatique des fonctions harmoniques. (French) Zbl 0329.31009 Bull. Soc. Math. Fr. 104, 165-174 (1976). MSC: 31D05 31A05 PDF BibTeX XML Cite \textit{G. Tissier}, Bull. Soc. Math. Fr. 104, 165--174 (1976; Zbl 0329.31009) Full Text: DOI Numdam EuDML OpenURL
Feyel, Denis; de la Pradelle, Arnaud Faisceaux maximaux de fonctions associées à un opérateur elliptique du second ordre. (French) Zbl 0325.35032 Ann. Inst. Fourier 26, No. 3, 257-274 (1976). MSC: 35J15 35B05 PDF BibTeX XML Cite \textit{D. Feyel} and \textit{A. de la Pradelle}, Ann. Inst. Fourier 26, No. 3, 257--274 (1976; Zbl 0325.35032) Full Text: DOI Numdam EuDML OpenURL
Sandor, Stefan Recherches axiomatiques sur le problème de Dirichlet. (French) Zbl 0323.31010 Rend. Sem. Mat. Univ. Padova 52(1974), 329-356 (1975). MSC: 31D05 PDF BibTeX XML Cite \textit{S. Sandor}, Rend. Semin. Mat. Univ. Padova 52, 329--356 (1975; Zbl 0323.31010) Full Text: Numdam EuDML OpenURL
Smyrnelis, Emmanuel P. Axiomatique des fonctions biharmoniques. I. (French) Zbl 0295.31006 Ann. Inst. Fourier 25, No. 1, 35-97 (1975). MSC: 31D05 31B30 PDF BibTeX XML Cite \textit{E. P. Smyrnelis}, Ann. Inst. Fourier 25, No. 1, 35--97 (1975; Zbl 0295.31006) Full Text: DOI Numdam EuDML OpenURL
Lukes, Jaroslav Théoreme de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques. (French) Zbl 0308.31010 Czech. Math. J. 24(99), 114-125 (1974). MSC: 31D05 31B05 31B20 PDF BibTeX XML Cite \textit{J. Lukes}, Czech. Math. J. 24(99), 114--125 (1974; Zbl 0308.31010) Full Text: EuDML OpenURL
Reay, Ian Subduals and tensor products of spaces of harmonic functions. (English) Zbl 0291.31005 Ann. Inst. Fourier 24, No. 3, 119-144 (1974). MSC: 31D05 PDF BibTeX XML Cite \textit{I. Reay}, Ann. Inst. Fourier 24, No. 3, 119--144 (1974; Zbl 0291.31005) Full Text: DOI Numdam EuDML Link OpenURL
Armstrong, Thomas E. Topological countability in Brelot potential theory. (English) Zbl 0287.31010 Ann. Inst. Fourier 24, No. 3, 15-36 (1974). MSC: 31D05 PDF BibTeX XML Cite \textit{T. E. Armstrong}, Ann. Inst. Fourier 24, No. 3, 15--36 (1974; Zbl 0287.31010) Full Text: DOI Numdam EuDML OpenURL
Jones, B. Frank jun.; Kemper, John T. The local character of kernel functions in axiomatic potential theory. (English) Zbl 0276.31011 Commun. Pure Appl. Math. 27, 135-142 (1974). MSC: 31D05 PDF BibTeX XML Cite \textit{B. F. Jones jun.} and \textit{J. T. Kemper}, Commun. Pure Appl. Math. 27, 135--142 (1974; Zbl 0276.31011) Full Text: DOI OpenURL
Feyel, Denis; de la Pradelle, Arnaud Principe du minimum et prefaisceaux maximaux. (French) Zbl 0273.31003 Ann. Inst. Fourier 24, No. 1, 1-121 (1974). MSC: 31B05 PDF BibTeX XML Cite \textit{D. Feyel} and \textit{A. de la Pradelle}, Ann. Inst. Fourier 24, No. 1, 1--121 (1974; Zbl 0273.31003) Full Text: DOI Numdam EuDML OpenURL
Sur, M. G. Functions harmonic for a Markov process. (English. Russian original) Zbl 0285.60062 Math. Notes 13, 355-359 (1973); translation from Mat. Zametki 13, 587-596 (1973). MSC: 60J45 31C05 PDF BibTeX XML Cite \textit{M. G. Sur}, Math. Notes 13, 355--359 (1973; Zbl 0285.60062); translation from Mat. Zametki 13, 587--596 (1973) Full Text: DOI OpenURL
Anandam, Victor Espaces harmoniques sans potentiel positif. (Harmonic spaces without positive potential). (French) Zbl 0235.31015 Ann. Inst. Fourier 22, No. 4, 97-160 (1972). MSC: 31D05 31B05 PDF BibTeX XML Cite \textit{V. Anandam}, Ann. Inst. Fourier 22, No. 4, 97--160 (1972; Zbl 0235.31015) Full Text: DOI Numdam EuDML OpenURL
Bliedtner, Jürgen; Janssen, Klaus Harnacksche Kegel und Metrik in harmonischen Räumen. (Harnack cone and metric in harmonic spaces). (German) Zbl 0227.31010 Math. Ann. 198, 85-97 (1972). MSC: 31C05 PDF BibTeX XML Cite \textit{J. Bliedtner} and \textit{K. Janssen}, Math. Ann. 198, 85--97 (1972; Zbl 0227.31010) Full Text: DOI EuDML OpenURL
Fuglede, Bent Connexion en topologie fine et balayage des mesures. (Connection on fine topology and balayage of measures.). (French) Zbl 0208.13802 Ann. Inst. Fourier 21, No. 3, 227-244 (1971). MSC: 31C40 31D05 PDF BibTeX XML Cite \textit{B. Fuglede}, Ann. Inst. Fourier 21, No. 3, 227--244 (1971; Zbl 0208.13802) Full Text: DOI Numdam EuDML OpenURL
Fuglede, Bent The quasi topology associated with a countably subadditive set function. (English) Zbl 0197.19401 Ann. Inst. Fourier 21, No. 1, 123-169 (1971). MSC: 54A05 28A12 PDF BibTeX XML Cite \textit{B. Fuglede}, Ann. Inst. Fourier 21, No. 1, 123--169 (1971; Zbl 0197.19401) Full Text: DOI Numdam EuDML OpenURL
Effros, Edward G.; Kazdan, Jerry L. Applications of Choquet simplexes to elliptic and parabolic boundary value problems. (English) Zbl 0255.46018 J. Differ. Equations 8, 95-134 (1970). MSC: 46E15 35B99 35K20 31D05 35J25 PDF BibTeX XML Cite \textit{E. G. Effros} and \textit{J. L. Kazdan}, J. Differ. Equations 8, 95--134 (1970; Zbl 0255.46018) Full Text: DOI OpenURL
Jackson, Howard Lawrence Some results on thin sets in a half plane. (English) Zbl 0195.39902 Ann. Inst. Fourier 20, No. 2, 201-218 (1970). MSC: 31A05 PDF BibTeX XML Cite \textit{H. L. Jackson}, Ann. Inst. Fourier 20, No. 2, 201--218 (1970; Zbl 0195.39902) Full Text: DOI Numdam EuDML OpenURL
Vincent-Smith, G. F. Uniform approximation of harmonic functions. (English) Zbl 0176.09904 Ann. Inst. Fourier 19, No. 2, 339-353 (1969). PDF BibTeX XML Cite \textit{G. F. Vincent-Smith}, Ann. Inst. Fourier 19, No. 2, 339--353 (1969; Zbl 0176.09904) Full Text: DOI Numdam EuDML OpenURL
Bony, Jean-Michel Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées. (French) Zbl 0176.09703 Ann. Inst. Fourier 19, No. 1, 277-304 (1969). PDF BibTeX XML Cite \textit{J.-M. Bony}, Ann. Inst. Fourier 19, No. 1, 277--304 (1969; Zbl 0176.09703) Full Text: DOI Numdam EuDML OpenURL
Sibony, Daniel Allure à la frontière minimale d’une classe de transformations. Théorème de Doob généralisé. (French) Zbl 0182.15002 Ann. Inst. Fourier 18, No. 2, 91-120 (1968). PDF BibTeX XML Cite \textit{D. Sibony}, Ann. Inst. Fourier 18, No. 2, 91--120 (1968; Zbl 0182.15002) Full Text: DOI Numdam EuDML OpenURL
Bony, Jean-Michel Détermination des axiomatiques de théorie du potentiel dont les fonctions harmoniques sont différentiables. (French) Zbl 0164.14003 Ann. Inst. Fourier 17, No. 1, 353-382 (1967). PDF BibTeX XML Cite \textit{J.-M. Bony}, Ann. Inst. Fourier 17, No. 1, 353--382 (1967; Zbl 0164.14003) Full Text: DOI Numdam EuDML OpenURL
Brelot, Marcel Recherches sur la topologie fine et ses applications. (Théorie du potentiel). (French) Zbl 0159.16201 Ann. Inst. Fourier 17, No. 2, 395-423 (1967). PDF BibTeX XML Cite \textit{M. Brelot}, Ann. Inst. Fourier 17, No. 2, 395--423 (1967; Zbl 0159.16201) Full Text: DOI Numdam EuDML OpenURL
Loeb, Peter; Walsh, Bertram The equivalence of Harnack’s principle and Harnack’s inequality in the axiomatic system of Brelot. (English) Zbl 0132.33802 Ann. Inst. Fourier 15, No. 2, 597-600 (1965). PDF BibTeX XML Cite \textit{P. Loeb} and \textit{B. Walsh}, Ann. Inst. Fourier 15, No. 2, 597--600 (1965; Zbl 0132.33802) Full Text: DOI Numdam EuDML OpenURL