Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.
Feller semigroups, Dirchlet forms, and pseudo differential operators.
Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces
We apply the Feynman-Kac formula to compute the λ-Poisson kernels and λ-Green functions for half-spaces or balls in hyperbolic spaces. We present known results in a unified way and also provide new formulas for the λ-Poisson kernels and λ-Green functions of half-spaces in ℍⁿ and for balls in real and complex hyperbolic spaces.
Fieldless methods for the simulation of stationary and nonstationary induction heating
Finding the conductors in circular networks from boundary measurements
Fine and quasi connectedness in nonlinear potential theory
If denotes the Bessel capacity of subsets of Euclidean -space, , , naturally associated with the space of Bessel potentials of -functions, then our principal result is the estimate: for , there is a constant such that for any set
Fine Boundary Limits of Finely Harmonic Functions.
Fine Hyperharmonicity Without Axiom D.
Fine localization in potential theory [Abstract of thesis]
Fine topologies as examples of non-Blumberg Baire spaces
Fine topology and -harmonic morphisms.
Fine topology of variable exponent energy superminimizers.
Finely differentiable monogenic functions
Since 1970’s B. Fuglede and others have been studying finely holomorhic functions, i.e., ‘holomorphic’ functions defined on the so-called fine domains which are not necessarily open in the usual sense. This note is a survey of finely monogenic functions which were introduced in (Lávička, R., A generalisation of monogenic functions to fine domains, preprint.) like a higher dimensional analogue of finely holomorphic functions.
Finely holomorphic and finely subharmonic functions in contour-solid problems.
Finely holomorphic functions and finely harmonic morphisms.
Finely Open Morphisms of H-Cones.
Finite distortion functions and Douglas-Dirichlet functionals
In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, -Dirichlet functionals of harmonic mappings are also investigated.
Finite-infinite-range inequalities in the complex plane.
Flatness of Domains and Doubling Properties of Measures Supported on their Boundary, with Applications to Harmonic Measure.
Flows of heat and the Fourier problem