Holomorphic almost periodic functions on coverings of complex manifolds.
Holomorphic Sobolev spaces on the ball [Book]
Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).
The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.
Homeomorphisms preserving Ap.
Homogeneous estimates for oscillatory integrals.
Homogeneous even kernels on surfaces.
Homogenization of almost periodic monotone operators
How smooth is almost every function in a Sobolev space?
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Hölder regularity are fractal sets, and we determine their Hausdorff dimension.
Hubert integrals, Singular integrals, and Radon transforms II.
Hurewicz scheme
Hyperbolic singular integral operators.
We define a class of integral operators which are singular relative to the hyperbolic metric in simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L2 of the upper half plane relative to the hyperbolic metric.
Hypersingular Marcinkiewicz integrals along surface with variable kernels on Sobolev space and Hardy-Sobolev space.