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Volume 52 (2000)
- Issue 4 Pages 475-
- Issue 3 Pages 321-
- Issue 2 Pages 163-
- Issue 1 Pages 1-
Predecessor
Volume 52, Issue 1
Displaying 1-10 of 10 articles from this issue
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Dedicated to Professor Satoru Igari on his sixtieth birthdayTAKESHI KAWAZOE2000Volume 52Issue 1 Pages 1-18
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSLet G be a real rank one connected semisimple Lie group with finite center. As well-known the radial, heat, and Poisson maximal operators satisfy the L^p-norm inequalities for any p>1 and a weak type L^1 estimate. The aim of this paper is to find a subspace of L^1(G) from which they are bounded into L^1(G). As an analogue of the atomic Hardy space on the real line, we introduce an atomic Hardy space on G and prove that these maximal operators with suitable modifications are bounded from the atomic Hardy space on G to L^1(G).View full abstractDownload PDF (586K) -
IGNACIO BAJO2000Volume 52Issue 1 Pages 19-29
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe consider Lie groups whose Lie algebra is the nilradical of a parabolic subalgebra of a complex simple Lie algebra, endowed with left-invariant Hermitian metrics. For such Riemannian Lie groups, we describe the Lie algebras of their maximal isotropy groups.View full abstractDownload PDF (412K) -
MARÍA J. CARRO, HANS HEINIG2000Volume 52Issue 1 Pages 31-46
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIf P, Q:(0, ∞)→ are increasing functions and T is the Calderon operator defined on positive or decreasing functions, then optimal modular inequalities ∫ P(Tf)≤ C∫ Q(f) are proved. If P=Q, the condition on P is both necessary and sufficient for the modular inequality. In addition, we establish general interpolation theorems for modular spaces.View full abstractDownload PDF (503K) -
MENG FAN, KE WANG2000Volume 52Issue 1 Pages 47-59
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper we consider the existence of periodic solutions of neutral functional differential equations. It has been proved that for convex neutral functional differential equations of D-operator type with finite (or infinite) delay and hyperneutral functional differential equations with finite delay, there is a periodic solution if and only if there is a bounded solution. The results proved by Massera, Chow and Makay are generalized.View full abstractDownload PDF (532K) -
KAYO MASUDA, MASAYOSHI MIYANISHI2000Volume 52Issue 1 Pages 61-77
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSLet W be an irreducible subvariety of codimension r in a smooth affine variety X of dimension n defined over the complex field {C}. Suppose that W is left pointwise fixed by an automorphism of X of infinite order or by a one-dimensional algebraic torus action on X. In the present article, we consider whether or not X is then an affine space bundle over W of fiber dimension n-r. Our results concern the case r=1 or the case r=2 and n≤3. As by-products, we obtain algebro-topological characterizations of the affine 3-space.View full abstractDownload PDF (797K) -
YUSAKU HAMADA2000Volume 52Issue 1 Pages 79-94
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn our preceding article [H2], by applying the results of Bieberbach, Fatou and Picard, we have studied the domain of holomorphy of the solution of the Cauchy problem for the differential operator with coefficients of entire functions. In this article, by employing the results of the modular function and its ordinary differential equation, we give a remark on the domain of holomorphy of the solution of the Cauchy problem for the differential operator of principal part with polynomial coefficients.View full abstractDownload PDF (518K) -
REIKO AIYAMA, KAZUO AKUTAGAWA2000Volume 52Issue 1 Pages 95-105
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSOur primary object of this paper is to give a representation formula for a surface with prescribed mean curvature in the (metric) 3-sphere by means of a single component of the generalized Gauss map. For a CMC (constant mean curvature) surface, we derive another representation formula by means of the adjusted Gauss map. These formulas are spherical versions of the Kenmotsu representation formula for surfaces in the Euclidean 3-space. Spin versions of them are obtained as well.View full abstractDownload PDF (457K) -
SANNAY MOHAMAD, KONDALSAMY GOPALSAMY2000Volume 52Issue 1 Pages 107-125
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSA sufficient condition is obtained for the existence of a globally asymptotically stable positive almost periodic solution of a discrete logistic equation. The sufficient condition becomes a necessary and sufficient condition for the global asymptotic stability of the positive equilibrium of the corresponding autonomous equation.View full abstractDownload PDF (606K) -
TAKUYA OHTA2000Volume 52Issue 1 Pages 127-152
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSVogan-Zuckerman's standard representation X for a real reductive group G({R}) is constructed from a θ-stable parabolic subalgebra \mathfrak{q} of the complexified Lie algebra \mathfrak{g} of G({R}). Adams and Vogan showed that the set of \mathfrak{g}-principal K-orbits in the associated variety Ass(X) of X is in one-to-one correspondence with the set \mathcal{B}_{\mathfrak{g}-}^L/K of K-conjugacy classes of θ-stable Borel subalgebras of large type having representatives in the opposite parabolic subalgebra \mathfrak{q}- of \mathfrak{q}. In this paper, we give a description of \mathcal{B}_{\mathfrak{q}}^L/K and show that \mathcal{B}_\mathfrak{q}^L/K \ e ptyset under certain condition on the positive system of imaginary roots contained in \mathfrak{q}. Furthermore, we construct a finite group which acts on \mathcal{B}_\mathfrak{q}^L/K transitively.View full abstractDownload PDF (909K) -
YONG DING, SHANZHEN LU2000Volume 52Issue 1 Pages 153-162
Published: March 01, 2000
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSMapping properties for the homogeneous fractional integral operator T_{{ Ω}, α} on the Hardy spaces H^p({R}^n) are studied. Our results give the extension of Stein-Weiss and Taibleson-Weiss's results for the boundedness of the Riesz potential operator Iα on the Hardy spaces H^p({R}^n).View full abstractDownload PDF (318K)
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