Weighted Integrability of Double Series with Respect to Multiplicative Systems
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2484-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2484-4 | ||
| 245 | 0 | 0 | |a Weighted Integrability of Double Series with Respect to Multiplicative Systems |h [Elektronische Daten] |c [S. Volosivets, R. Fadeev] |
| 520 | 3 | |a Necessary and sufficient conditions for L p -integrability with power weight of a function f represented by the double series with respect to a multiplicative system with generalized monotone coefficients are obtained. These conditions are given in terms of the coefficients or their second mixed differences. In addition, the integrability of the difference quotient (f(x, y) − f(x, 0) − f(0, y) + f(0, 0))/(xy) is studied. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Volosivets |D S. |u Saratov State University, Saratov, Russia |4 aut | |
| 700 | 1 | |a Fadeev |D R. |u Saratov State University, Saratov, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/1(2015-08-01), 51-65 |x 1072-3374 |q 209:1<51 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2484-4 |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/s10958-015-2484-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Volosivets |D S. |u Saratov State University, Saratov, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Fadeev |D R. |u Saratov State University, Saratov, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/1(2015-08-01), 51-65 |x 1072-3374 |q 209:1<51 |1 2015 |2 209 |o 10958 | ||