Weak type inequalities for ergodic strong maximal operators
Fava's weak type L log L estimate for strong two-parameter ergodic maximal operators associated to pairs of commuting non-periodic measure-preserving transformations is shown to be sharp. Moreover, given a function 4> on [0, oo) that is positive, increasing, and o(log(x)) for x —> oo as w...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
|
| Sorozat: | Acta scientiarum mathematicarum
76 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16358 |
| LEADER | 01366nab a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta16358 | ||
| 005 | 20260309152336.0 | ||
| 008 | 161015s2010 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Hagelstein Paul | |
| 245 | 1 | 0 | |a Weak type inequalities for ergodic strong maximal operators |h [elektronikus dokumentum] / |c Hagelstein Paul |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2010 | ||
| 300 | |a 427-441 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 76 No. 3-4 | |
| 520 | 3 | |a Fava's weak type L log L estimate for strong two-parameter ergodic maximal operators associated to pairs of commuting non-periodic measure-preserving transformations is shown to be sharp. Moreover, given a function 4> on [0, oo) that is positive, increasing, and o(log(x)) for x —> oo as well as a pair of commuting invertible non-periodic measure-preserving transformations on a space fi of finite measure, a function / £ L<f>(L)(Q,) is constructed whose associated multiparameter ergodic averages fail to converge almost everywhere in the unrestricted sense. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Stokolos Alexander |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16358/1/math_076_numb_003_004_427-441.pdf |z Dokumentum-elérés |