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A survey on wavelet methods for (geo) applications.

Willi Freeden, Thorsten Maier, Steffen Zimmermann (2003)

Revista Matemática Complutense

Wavelets originated in 1980's for the analysis of (seismic) signals and have seen an explosion of applications. However, almost all the material is based on wavelets over Euclidean spaces. This paper deals with an approach to the theory and algorithmic aspects of wavelets in a general separable Hilbert space framework. As examples Legendre wavelets on the interval [-1,+1] and scalar and vector spherical wavelets on the unit sphere 'Omega' are discussed in more detail.

Boundedness for multilinear commutator of Littlewood-Paley operator on Hardy and Herz-Hardy spaces.

Wu, Changhong, Liu, Lanzhe (2006)

Lobachevskii Journal of Mathematics

Continuity for maximal commutator of Bochner-Riesz operators on some weighted Hardy spaces.

Liu, Lanzhe, Tong, Qingshan (2005)

International Journal of Mathematics and Mathematical Sciences

Happy fractals and some aspects of analysis on metric spaces.

Stephen Semmes (2003)

Publicacions Matemàtiques

There has been a lot of interest and activity along the general lines of analysis on metric spaces recently, as in [2], [3], [26], [40], [41], [46], [48], [49], [51], [82], [83], [89], for instance. Of course this is closely related to and involves ideas concerning spaces of homogeneous type, as in [18], [19], [66], [67], [92], as well as sub-Riemannian spaces, e.g., [8], [9], [34], [47], [52], [53], [54], [55], [68], [70], [72], [73], [84], [86], [88]. In the present survey we try to give an introduction...