Abstract:
We investigate generalized spaces of Besov type defined with the help of
certain positive infinitely differentiable functions of polynomial growth and describe
the K-functionals for pairs of H−spaces and for the pairs of B-spaces. We prove
interpolation theorems for spaces with different anisotropy. Spaces of functions of
mixed smoothness are characterized as “B-products” and interpolation theorems for
these spaces are proved. Moreover, we establish embedding and trace theorems.
