Holomorphic functions of fast growth on submanifolds of the domain
We construct a function f holomorphic in a balanced domain D in such that for every positive-dimensional subspace Π of , and for every p with 1 ≤ p < ∞, is not -integrable on Π ∩ D.
Holomorphic functions on Fréchet spaces with Schauder basis.
Holomorphic functions with singularities on algebraic sets.
Holomorphic generators of some ideals in
Holomorphic Lipschitz functions and application to the -problem
Holomorphic Lipschitz functions in balls.
Holomorphic mapping of annuli in and the associated extremal function
Holomorphic Mappings from the Ball and Polydisc.
Holomorphic Mappings in the Nevanlinna Class.
Holomorphic Morse Inequalities on Manifolds with Boundary
Let be a compact complex manifold with boundary and let be a high power of a hermitian holomorphic line bundle over When has no boundary, Demailly’s holomorphic Morse inequalities give asymptotic bounds on the dimensions of the Dolbeault cohomology groups with values in in terms of the curvature of We extend Demailly’s inequalities to the case when has a boundary by adding a boundary term expressed as a certain average of the curvature of the line bundle and the Levi curvature of the...
Holomorphic reproducing kernel for Kohn-Nierenberg domains in C...
Holomorphic Sobolev spaces on the ball [Book]
Holomorph-prävollständige Resträume zu analytischen Mengen in Steinschen Räumen.
Holomorphy types on a Banach spaces
How to prove Fefferman's theorem without use of differential geometry
Hp-theory on Euclidean space and the Dirac operator.
H(t) has functional attributes
Hua-harmonic functions on symmetric type two Siegel domains
We study a natural system of second order differential operators on a symmetric Siegel domain that is invariant under the action of biholomorphic transformations. If is of type two, the space of real valued solutions coincides with pluriharmonic functions. We show the main idea of the proof and give a survey of previous results.
Hurwitz analysis: basic concepts and connection with Clifford analysis
Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials
MSC 2010: 30C10, 32A30, 30G35The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation with hyperbolic fourth-R...