INTERPOLATION PROPERTIES OF GENERALIZED LIZORKIN-TRIEBEL AND NIKOLSKII-BESOV SPACES

摘要

Some general Lizorkin-Triebel type spaces generated by positive, infinitely differentiable functions of polynomial growth are defined. A two-sided estimate of the Peetre K-functional for pairs of Nikolskii-Besov type spaces with different anisotropies is derived. Some "real method" interpolation formulas are proved both in Lizorkin-Triebel and Nikolskii-Besov type spaces in question.