Geodesic
A General Approach to Littlewood-Paley Theorems for Orthogonal Families
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 296-308

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DOI

A general lacunary Littlewood-Paley type theorem is proved, which applies in a variety of settings including Jacobi polynomials in [0, 1], SU(2), and the usual classical trigonometric series in [0, 2π). The theoremis used to derive new results for Lp multipliers on SU(2) and Jacobi Lp multipliers.
DOI : 10.4153/CMB-1997-036-1
Mots-clés : Primary: 42B25, secondary: 42C10, 43A80, Littlewood-Paley theorem, orthogonal decompositions, multipliers 
Hare, Kathryn E. A General Approach to Littlewood-Paley Theorems for Orthogonal Families. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 296-308. doi: 10.4153/CMB-1997-036-1
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     author = {Hare, Kathryn E.},
     title = {A {General} {Approach} to {Littlewood-Paley} {Theorems} for {Orthogonal} {Families}},
     journal = {Canadian mathematical bulletin},
     pages = {296--308},
     year = {1997},
     volume = {40},
     number = {3},
     doi = {10.4153/CMB-1997-036-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-036-1/}
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