LEADER 02779nam 2200601 450 001 996466637503316 005 20220305043824.0 010 $a3-540-46207-4 024 7 $a10.1007/BFb0091154 035 $a(CKB)1000000000437425 035 $a(SSID)ssj0000327629 035 $a(PQKBManifestationID)12081542 035 $a(PQKBTitleCode)TC0000327629 035 $a(PQKBWorkID)10303168 035 $a(PQKB)10414260 035 $a(DE-He213)978-3-540-46207-1 035 $a(MiAaPQ)EBC5595638 035 $a(Au-PeEL)EBL5595638 035 $a(OCoLC)1076236161 035 $a(MiAaPQ)EBC6842500 035 $a(Au-PeEL)EBL6842500 035 $a(OCoLC)1058097085 035 $a(PPN)155187708 035 $a(EXLCZ)991000000000437425 100 $a20220305d1989 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aWeighted hardy spaces /$fJan-Olov Stro?mberg, Alberto Torchinsky 205 $a1st ed. 1989. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1989] 210 4$dİ1989 215 $a1 online resource (VIII, 200 p.) 225 1 $aLecture Notes in Mathematics ;$v1381 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51402-3 327 $aWeights -- Decomposition of weights -- Sharp maximal functions -- Functions in the upper half-space -- Extensions of distributions -- The Hardy spaces -- A dense class -- The atomic decomposition -- The basic inequality -- Duality -- Singular integrals and multipliers -- Complex interpolation. 330 $aThese notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1381. 606 $aHardy spaces 615 0$aHardy spaces. 676 $a515.94 700 $aStro?mberg$b Jan-Olov$059141 702 $aTorchinsky$b Alberto 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466637503316 996 $aWeighted hardy spaces$9262298 997 $aUNISA