000 02748nam a22004695i 4500
001 978-3-540-46207-1
003 DE-He213
005 20190213151734.0
007 cr nn 008mamaa
008 121227s1989 gw | s |||| 0|eng d
020 _a9783540462071
_9978-3-540-46207-1
024 7 _a10.1007/BFb0091154
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
082 0 4 _a516
_223
100 1 _aStrömberg, Jan-Olov.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aWeighted Hardy Spaces
_h[electronic resource] /
_cby Jan-Olov Strömberg, Alberto Torchinsky.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1989.
300 _aVIII, 200 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1381
505 0 _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.
520 _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.
650 0 _aGeometry.
650 1 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
700 1 _aTorchinsky, Alberto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662184622
776 0 8 _iPrinted edition:
_z9783540514022
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1381
856 4 0 _uhttps://doi.org/10.1007/BFb0091154
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11715
_d11715