Dissertationes mathematicae. 471: Weighted inequalities for gradients on non-smooth domains / C.Sweezy, J.M.Wilson; Institute of Mathematics. Polish Academy of Sciences. - Warszawa: Instytut matematyczny PAN, 2010. - 53 p.: ill. - ISSN 0012-3862  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

1 Euclidean space .............................................. 9 2 Littlewood-Paley theory on homogeneous spaces ............... 15 2.1 The Littlewood-Paley inequality ........................ 15 2.2 Almost-orthogonality for a doubling measure ............ 27 3 Harmonic functions on bounded Lipschitz domains ............. 38 3.1 Lipschitz domains ...................................... 39 3.2 The weighted-norm theorem .............................. 41 4 Elliptic functions .......................................... 47 References ..................................................... 52