E-viri
PDF
Recenzirano
Odprti dostop
-
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
Advances in mathematics (New York. 1965), 03/2011, Letnik: 226, Številka: 4Journal Article
In this paper, the authors characterize, in terms of pointwise inequalities, the classical Besov spaces B ˙ p , q s and Triebel–Lizorkin spaces F ˙ p , q s for all s ∈ ( 0 , 1 ) and p , q ∈ ( n / ( n + s ) , ∞ , both in R n and in the metric measure spaces enjoying the doubling and reverse doubling properties. Applying this characterization, the authors prove that quasiconformal mappings preserve F ˙ n / s , q s on R n for all s ∈ ( 0 , 1 ) and q ∈ ( n / ( n + s ) , ∞ . A metric measure space version of the above morphism property is also established.
