Asymptotic behaviour of Besov norms via wavelet type basic expansions
Anna Kamont (2016)
Annales Polonici Mathematici
Similarity:
J. Bourgain, H. Brezis and P. Mironescu [in: J. L. Menaldi et al. (eds.), Optimal Control and Partial Differential Equations, IOS Press, Amsterdam, 2001, 439-455] proved the following asymptotic formula: if is a smooth bounded domain, 1 ≤ p < ∞ and , then , where K is a constant depending only on p and d. The double integral on the left-hand side of the above formula is an equivalent seminorm in the Besov space . The purpose of this paper is to obtain analogous asymptotic formulae...