On the Boundary Derivative for Univalent Functions.
On the characterization of Hardy-Besov spaces on the dyadic group and its applications
C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality of the...
On the characterization of quasiarithmetic means with weight function.
On the Class Gamma and Related Classes of Functions
On the Classes of Rapidly Varying Functions
On the closure of Baire classes under transfinite convergences
Let X be a Polish space and Y be a separable metric space. For a fixed ξ < ω₁, consider a family of Baire-ξ functions. Answering a question of Tomasz Natkaniec, we show that if for a function f: X → Y, the set is finite for every x ∈ X, then f itself is necessarily Baire-ξ. The proof is based on a characterization of sets which can be interesting in its own right.
On the closure of the Lizorkin space in spaces of Beppo Levi type
The purpose of this paper is to give a characterization of the closure of the Lizorkin space in spaces of Beppo Levi type. As preparations for the proof, we establish the invariance of the Lizorkin space, and give local integral representations for smooth functions.
On the common fixed point for commuting Lipschitz functions
On the comparison of error bounds for finite difference schemes.
On the complexification of the Weierstrass non-differentiable function.
On the compressed Descartes-plane and its applications.
On the connectivity for Darboux functions
On the continuity and monotonicity of restrictions of connected functions
On the continuity for connected functions
On the continuity of midpoint hall convex set-valued functions.
On the continuity of midpoint hull convex set-valued functions. (Summary).
On the convergence of sequences of iterates of random-valued functions.
On the convergence of -primitives
On the convexity of high order of sequences.
On the density maxima of a function