Weighted Calderón-Zygmund Decomposition with Some Applications to Interpolation
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2526-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2526-y | ||
| 100 | 1 | |a Rutsky |D D. |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Weighted Calderón-Zygmund Decomposition with Some Applications to Interpolation |h [Elektronische Daten] |c [D. Rutsky] |
| 520 | 3 | |a Let X be an A1-regular lattice of measurable functions and let Q be a projection that is also a Calderón-Zygmund operator. In this case, it is possible to define a space XQ consisting of functions f ∈ X for which Qf = f in a certain sense. By using the Bourgain approach to interpolation, we show that the couple (L 1 Q , XQ) is K-closed in (L1, X). This result is sharp in the sense that, in general, A1-regularity cannot be replaced by weaker conditions such as Ap-regularity for p > 1. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/5(2015-09-01), 783-791 |x 1072-3374 |q 209:5<783 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2526-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2526-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Rutsky |D D. |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/5(2015-09-01), 783-791 |x 1072-3374 |q 209:5<783 |1 2015 |2 209 |o 10958 | ||