| Title:
|
Transmission of convergence (English) |
| Author:
|
Neugebauer, Christoph J. |
| Language:
|
English |
| Journal:
|
Nonlinear Analysis, Function Spaces and Applications |
| Volume:
|
Vol. 7 |
| Issue:
|
2002 |
| Year:
|
|
| Pages:
|
193-215 |
| . |
| Category:
|
math |
| . |
| Summary:
|
If $E(f)=\{x:\limsup f\star\mu_j(x)>\liminf f\star\mu_j(x)\}$, we examine the type of convergence of $g_k$ to $f$ so that $|E(g_k)|\le M$, $k=1,2,\dots$, implies $|E(f)|\le M$. (English) |
| Keyword:
|
measure |
| Keyword:
|
convergence |
| Keyword:
|
maximal operator |
| Keyword:
|
minimal operator |
| MSC:
|
42B25 |
| . |
| Date available:
|
2009-10-08T09:50:31Z |
| Last updated:
|
2012-08-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702485 |
| . |
| Reference:
|
[1] Uribe D. Cruz,- Neugebauer C. J.: Weighted norm inequalities for the geometric maximal operator.Publ. Mat. 42 (1998), 239–263. Zbl 0919.42014, MR 99e:42029. MR 1628101 |
| Reference:
|
[2] Uribe D. Cruz,- SFO,, Neugebauer C. J., Olesen V.: Norm inequalities for the minimal and maximal operator, and differentiation of the integral.Publ. Mat. 41 (1997), 577–604. Zbl 0903.42007, MR 99b:42022. MR 1485505 |
| Reference:
|
[3] Uribe D. Cruz,- SFO,, Neugebauer C. J., Olesen V.: Weighted norm inequalities for a family of one-sided minimal operators.Illinois J. Math. 41 (1997), 77–92. Zbl 0871.42019, MR 99b:42021. MR 1433187 |
| Reference:
|
[4] Cuerva J. García,- Francia J. L. Rubio de: Weighted norm inequalities and related topics.North-Holland Mathematics Studies 116, North-Holland, Amsterdam, 1985. Zbl 0578.46046, MR 87d:42023. MR 0807149 |
| Reference:
|
[5] Muckenhoupt B.: Weighted norm inequalities for the Hardy maximal function.Trans. Amer. Math. Soc. 165 (1972), 207–226. Zbl 0236.26016, MR 45 #2461. Zbl 0236.26016, MR 0293384 |
| Reference:
|
[6] Stein E. M.: Harmonic analysis: real variable methods, orthogonality, and oscillatory integrals.Princeton Mathematical Series 43. Princeton University Press, Princeton, N. J., 1993. Zbl 0821.42001, MR 95c:42002. Zbl 0821.42001, MR 1232192 |
| . |
