Harmonic analysis on the quantized Riemann sphere.
Harmonic Bergman spaces with small exponents in the unit ball.
Hausdorff Matrices as Bounded Operators over lp.
Heat kernel estimates for critical fractional diffusion operators
We construct the heat kernel of the 1/2-order Laplacian perturbed by a first-order gradient term in Hölder spaces and a zero-order potential term in a generalized Kato class, and obtain sharp two-sided estimates as well as a gradient estimate of the heat kernel, where the proof of the lower bound is based on a probabilistic approach.
Heat kernel estimates for the Dirichlet fractional Laplacian
We consider the fractional Laplacian on an open subset in with zero exterior condition. We establish sharp two-sided estimates for the heat kernel of such a Dirichlet fractional Laplacian in open sets. This heat kernel is also the transition density of a rotationally symmetric -stable process killed upon leaving a open set. Our results are the first sharp twosided estimates for the Dirichlet heat kernel of a non-local operator on open sets.
Heat kernel lower Gaussian estimates in the doubling setting without Poincaré inequality.
Hemiequilibrium problems.
Hemi-Multiplicative Operators and Related Operators in Finite-Dimensional Algebras
Hereditarily finitely decomposable Banach spaces
A Banach space is said to be if the maximal number of subspaces of X forming a direct sum is finite and equal to n. We study some properties of spaces, and their links with hereditarily indecomposable spaces; in particular, we show that if X is complex , then dim , where S(X) denotes the space of strictly singular operators on X. It follows that if X is a real hereditarily indecomposable space, then ℒ(X)/S(X) is a division ring isomorphic either to ℝ, ℂ, or ℍ, the quaternionic division ring....
Hereditarily normaloid operators.
A Banach space operator T belonging to B(X) is said to be hereditarily normaloid, T ∈ HN, if every part of T is normaloid; T ∈ HN is totally hereditarily normaloid, T ∈ THN, if every invertible part of T is also normaloid; and T ∈ CHN if either T ∈ THN or T - λI is in HN for every complex number λ. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators T ∈ CHN, and prove that the Riesz projection associated with a λ ∈ isoσ(T), T ∈ CHN ∩ B(H)...
Hereditarily strictly cyclic operator algebras
Hermitian composition operators on Hardy-Smirnov spaces
Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f ⃘ φ is a composition operator. We show that for any Ω, analytic self maps that induce bounded Hermitian composition operators are of the form Φ(w) = aw + b where a is a real number. For ceratin Ω, we completely describe values of a and b that induce bounded Hermitian composition operators.
Hermitian Geometry and Involutive Algebras.
Hermitian operators and convex functions.
Hermitian Operators on C (X, E) and the Banach-Stone Theorem.
Hidden symmetry from supersymmetry in one-dimensional quantum mechanics.
Hierarchical convergence of a double-net algorithm for equilibrium problems and variational inequality problems.
High energy asymptotics for N-body scattering matrices with arbitrary channels
High regularity of the solution of a nonlinear parabolic boundary-value problem.
Higher order differentiability of nonlinear operators on normed spaces. I.