On a class of parabolic integro-differential equations.
On Boman's theorem on partial regularity of mappings
Let and be a positive integer. Let be a locally bounded map such that for each , the derivatives , , exist and are continuous. In order to conclude that any such map is necessarily of class it is necessary and sufficient that be not contained in the zero-set of a nonzero homogenous polynomial which is linear in and homogeneous of degree in . This generalizes a result of J. Boman for the case . The statement and the proof of a theorem of Boman for the case is also extended...
On complete measurability of multifunctions defined on product spaces.
On local properties of functions and singular integrals in terms of the mean oscillation
This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L p-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered.
On monotone extensions of boundary data.
On nonstrict means.
On preponderant maxima
On qualitative cluster sets
On some descriptive characterizations of the -property
On some properties of Lipschitz mappings of the real line into a normed space.
On some representations of almost everywhere continuous functions on
It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on ; (b) f = g + h, where g,h are strongly quasicontinuous on ; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on .
On strict preponderant maxima
On the analytic approximation of differentiable functions from above
We determine conditions in order that a differentiable function be approximable from above by analytic functions, being left invariate on a fixed analytic subset which is a locally complete intersection.
On the homogeneous functions with two parameters and its monotonicity.
On the obstacle problem with a volume constraint.
On the symmetry of Dini derivates of arbitrary functions