5 citations · 13 across the 7 of their papers we have counts for
7 papers
Sobolev spaces and averaging I
B. Bojarski
An apparently new concept of maximal mean difference quotient is defined for functions in the Lebesgue space . Our definitions are meaningful for vector valued functi…
On Dirichlet problem for Beltrami equations with two characteristics
B. Bojarski, V. Gutlyanskii, V. Ryazanov
We establish a series of criteria on the existence of regular solutions for the Dirichlet problem to general degenerate Beltrami equations ${\bar{\partial}}f = μ{\partial f}+ν{\bar…
Sobolev spaces and Lagrange interpolation
Bogdan Bojarski
In this short paper the discussion of the pointwise characterization of functions in the Sobolev space given in the recent paper (Bojarski) is supplemented in \…
How to recognize polynomials in higher order Sobolev spaces
Bogdan Bojarski, Lizaveta Ihnatsyeva, Juha Kinnunen
This paper extends characterizations of Sobolev spaces by Bourgain, Brézis, and Mironescu to the higher order case. As a byproduct, we obtain an integral condition for the Taylor r…
On integral conditions for the general Beltrami equations
B. Bojarski, V. Gutlyanskii, V. Ryazanov
Under integral restrictions on dilatations, it is proved existence theorems for the degenerate Beltrami equations with two characteristics and, in particular, to the Beltrami equat…
Correspondences and index
Bogdan Bojarski, Andrzej Weber
We define certain class of correspondences of polarized representations of -algebras. Our correspondences are modeled on the spaces of boundary values of elliptic operators on…