Weak periodic solutions of some quasilinear parabolic equations with data measures.
Weak solutions to the complex Hessian equation
We investigate the class of functions associated with the complex Hessian equation .
Weighted norm inequalities for Riesz potentials and fractional maximal functions in mixed norm Lebesgue spaces
Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
Weighted Poincaré-type estimates for conjugate -harmonic tensors.
Weighted polynomial approximation in the complex plane.
Weighted Sobolev spaces and capacity.
Weighted two-parameter Bergman space inequalities.
When finely continuous functions are of the first class of Baire
Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
Wiener's Criterion in Potential Theory with Applications to Nilpotent Lie Groups.
Wiener's test of thinness in potential theory
Wiener's type regularity criteria on the complex plane
We present a number of Wiener’s type necessary and sufficient conditions (in terms of divergence of integrals or series involving a condenser capacity) for a compact set E ⊂ ℂ to be regular with respect to the Dirichlet problem. The same capacity is used to give a simple proof of the following known theorem [2, 6]: If E is a compact subset of ℂ such that for 0 < t ≤ 1 and a ∈ E, where d(F) is the logarithmic capacity of F, then the Green function of ℂ E with pole at infinity is Hölder continuous....