spaces on bounded symmetric domains
spaces over open subsets of
H¹ and BMO for certain locally doubling metric measure spaces of finite measure
In a previous paper the authors developed an H¹-BMO theory for unbounded metric measure spaces (M,ρ,μ) of infinite measure that are locally doubling and satisfy two geometric properties, called “approximate midpoint” property and “isoperimetric” property. In this paper we develop a similar theory for spaces of finite measure. We prove that all the results that hold in the infinite measure case have their counterparts in the finite measure case. Finally, we show that the theory applies to a class...
H1/2 maps with values into the circle : minimal connections, lifting, and the Ginzburg–Landau equation
H² spaces of generalized half-planes
Haar null and non-dominating sets
We study the σ-ideal of Haar null sets on Polish groups. It is shown that on a non-locally compact Polish group with an invariant metric this σ-ideal is closely related, in a precise sense, to the σ-ideal of non-dominating subsets of . Among other consequences, this result implies that the family of closed Haar null sets on a Polish group with an invariant metric is Borel in the Effros Borel structure if, and only if, the group is locally compact. This answers a question of Kechris. We also obtain...
Hadamard's multiplication theorem - recent developments
Hahn-Banach theorem implies Riesz theorem.
Hahn-Banach type theorems for adjoint semigroups.
Hahn-Banach Type Theorems for Hypolinear Functionals.
Hajłasz-Sobolev type spaces and -energy on the Sierpinski gasket.
Half-liberated real spheres and their subspaces
We describe the quantum subspaces of Banica-Goswami's half-liberated real spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation stable closed subspaces of the complex projective spaces.
Hall's transformation via quantum stochastic calculus
It is well known that Hall's transformation factorizes into a composition of two isometric maps to and from a certain completion of the dual of the universal enveloping algebra of the Lie algebra of the initial Lie group. In this paper this fact will be demonstrated by exhibiting each of the maps in turn as the composition of two isometries. For the first map we use classical stochastic calculus, and in particular a stochastic analogue of the Dyson perturbation expansion. For the second map we make...
Hamilton’s Principle with Variable Order Fractional Derivatives
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation....
Hankel complementary integral transformations of arbitrary order.
Hankel convolution on distribution spaces with exponential growth
We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
Hankel forms and the Fock space.
Hankel integral transforms of a new space of generalized functions of slow growth
Hankel Operators on Bergman Spaces with Change of Weight.
Hankel transform on Lorentz spaces