教員情報 - 相川　弘明

アイカワ　ヒロアキ AIKAWA Hiroaki
相川　弘明

所属理工学部数理・物理サイエンス学科

人間力創成教育院教養課題教育プログラム（科学技術リテラシー）

大学院工学研究科創造エネルギー理工学専攻

理工系教育圏共通理工系基礎教育室

職名教授

著書・論文歴
著書	Norm estimate of the Green operator and its application 1999
著書	Potential Theory : Selected Topics (jointly worked) 1996
論文	Dichotomy of global capacity density in metric measure spaces Adv. Calc. Var. 2017
論文	Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 93,721-740頁 2016/06
論文	Dichotomy of global density of Riesz capacity STUDIA MATHEMATICA 232 (3),267-278頁 2016
論文	DICHOTOMY OF GLOBAL CAPACITY DENSITY PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 143 (12),5381-5393頁 2015/12
論文	Intrinsic ultracontractivity via capacitary width REVISTA MATEMATICA IBEROAMERICANA 31 (3),1041-1106頁 2015
論文	Extended Harnack inequalities with exceptional sets and a boundary Harnack principle JOURNAL D ANALYSE MATHEMATIQUE 124,83-116頁 2014/10
論文	Potential Analysis on Nonsmooth Domains-Martin Boundary and Boundary Harnack Principle COMPLEX ANALYSIS AND POTENTIAL THEORY 55,235-253頁 2012
論文	Modulus of continuity of the Dirichlet solutions BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 42,857-867頁 2010/10
論文	Boundary Harnack principle and the quasihyperbolic boundary condition : Expository and correction (Potential Theory and its related Fields) RIMS Kokyuroku 1669,1-13頁 2009/11
論文	Doubling conditions for harmonic measure in John domains ANNALES DE L INSTITUT FOURIER 58 (2),429-445頁 2008
論文	EQUIVALENCE BETWEEN THE BOUNDARY HARNACK PRINCIPLE AND THE CARLESON ESTIMATE MATHEMATICA SCANDINAVICA 103 (1),61-76頁 2008
論文	Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains POTENTIAL ANALYSIS 26 (3),281-301頁 2007/05
論文	BOUNDARY ESTIMATES OF $p$-HARMONIC FUNCTIONS IN A METRIC MEASURE SPACE(Harmonic Analysis and Nonlinear Partial Differential Equations) RIMS Kokyuroku 1491,126-138頁 2006/05
論文	Holder estimates of p-harmonic extension operators JOURNAL OF DIFFERENTIAL EQUATIONS 220 (1),18-45頁 2006/01
論文	Martin boundary points of a John domain and unions of convex sets JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 58 (1),247-274頁 2006/01
論文	Carleson-type estimates for p-harmonic functions and the Conformal Martin Boundary of John domains in metric measure spaces MICHIGAN MATHEMATICAL JOURNAL 53 (1),165-188頁 2005
論文	FATOU AND LITTLEWOOD THEOREMS FOR POISSON INTEGRALS WITH RESPECT TO NON-INTEGRABLE KERNELS (Harmonic Analysis and Nonlinear Partial Differential Equations) RIMS Kokyuroku 1389,1-11頁 2004/07
論文	Potential-theoretic characterizations of nonsmooth domains BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 36,469-482頁 2004/07
論文	Fatou and Littlewood theorems for Poisson integrals with respect to non-integrable kernels Complex Variables Theory Appl. 49,, 511--528 2004
論文	Martin boundary of a fractal domain POTENTIAL ANALYSIS 18 (4),311-357頁 2003/06
論文	Martin boundary of a fractal domain POTENTIAL ANALYSIS 18 (4),311-357頁 2003/06
論文	Positive harmonic functions of finite order in a Denjoy type domain PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131 (12),3873-3881頁 2003
論文	相川弘明、複雑領域のMartin境界と境界Harnack原理数学 55 (1),1-19頁 2003
論文	Holder continuity of the Dirichlet solution for a general domain BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 34 (6),691-702頁 2002/11
論文	H. Aikawa, Hölder continuity of the Dirichlet solution for a general domain Bull. London Math. Soc. 34 (6),691-702頁 2002
論文	Boundary Harnack principle and Martin boundary for a uniform domain JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 53 (1),119-145頁 2001/01
論文	Evaluation of superharmonic functions using limits along lines BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 32 (2),209-213頁 2000/03
論文	Integrability of superharmonic functions in a John domain PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 128 (1),195-201頁 2000/01
論文	Dirichlet problem in an exterior domain with potential in a weighted Lebesgue class Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci. 32,9-23頁 1999
論文	Extremal length of vector measures ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 24 (1),61-88頁 1999
論文	Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions MATHEMATISCHE ANNALEN 312 (2),289-318頁 1998/10
論文	Generalized Cranston-McConnell inequalities for discontinuous superharmonic functions POTENTIAL ANALYSIS 8 (2),127-135頁 1998/03
論文	Semibounded perturbation of Green function in an NTA domain Mem. Fac. Sci. Eng. Shimane Univ., Series B : Mathematical Science 31,1-7頁 1998
論文	Densities with the mean value property for harmonic functions in a Lipschitz domain PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 125 (1),229-234頁 1997/01
論文	Capacity and Hausdorff content of certain enlarged sets Mem. Fac. Sci. Eng. Shimane Uriv. Series B : Mathematical Science 30,1-21頁 1997
論文	Generalized Cranston-Mc Connell inequalities for discontinuous superharmonic functions Potential Analysis 1997
論文	Sets of determination for harmonic functions in an NTA domain JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 48 (2),299-315頁 1996/04
論文	Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 348 (3),1013-1030頁 1996/03
論文	Bessel capacity, Hausdorff content and the tangential boundary behavior of harmonic functions Hiroshima Math. J. 26,363-384頁 1996
論文	Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains JOURNAL D ANALYSE MATHEMATIQUE 69,137-152頁 1996
論文	On boundary layers Arkiv for Matematik 34 (1),1-19頁 1996
論文	INTEGRABILITY OF SUPERHARMONIC FUNCTIONS AND SUBHARMONIC FUNCTIONS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 120 (1),109-117頁 1994/01
論文	On the upper bounds of Green potentials Hiroshima Math. J. 24,607-612頁 1994
論文	Quasiadditivity of capacity and mcinimal thinness Ann. Acad. Sci. Fenn. Ser A I Mathemaioca 18,65-75頁 1993
論文	THIN SETS AT THE BOUNDARY PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 65,357-382頁 1992/09
論文	Integral representations of weighted Beppo Levi functions(Potential Theory and Its Related Fields) RIMS Kokyuroku 610,1-26頁 1987/02
論文	On the minimal thinness in a Lipschitz domain(POTENTIAL THEORY AND ITS APPLICATIONS) RIMS Kokyuroku 502,13-36頁 1983/10