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 |