By　using　biorthogonal　wavelets,　Reynaud-Bouret,　Rivoirard　and　Tuleau-Malot　provide　the　adaptive　and　optimal　L-2-risk　estimation　for　density　functions　(not　necessarily　having　compact　support)　in　a　Besov　space　B-r,q(s)(R)　[P.　Reynaud-Bouret,　V.　Rivoirard　and　C.　Tuleau-Malot,　Adaptive　density　estimation:　A　curse　of　support?,　J.　Stat.　Plan.　Inference　141(1)　(2011)　115-139].　The　authors　pose　an　open　problem:　Can　L-P-risk　(1　＜=　p　＜　infinity)　estimation　be　given　in　their　setting?　In　this　paper,　we　try　to　solve　that　problem　for　p　is　an　element　of　vertical　bar　2,　+infinity)　by　using　wavelet　estimators.