| Title:
|
Singular integrals and strong maximal functions in weighted grand Lebesgue spaces (English) |
| Author:
|
Kokilashvili, Vakhtang |
| Language:
|
English |
| Journal:
|
Nonlinear Analysis, Function Spaces and Applications |
| Volume:
|
Vol. 9 |
| Issue:
|
2010 |
| Year:
|
|
| Pages:
|
261-269 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this lecture we will discuss the weighted boundedness problem for various integral operators in generalized grand Lebesgue spaces $L^{p),\theta}_w$. Namely, a complete description of
weight functions governing one-weight inequalities for multiple singular integrals and strong maximal functions will be presented. (English) |
| Keyword:
|
grand Lebesgue spaces; singular integrals with multiple kernels; strong maximal functions; weight; one-weight inequality; weighted integral operators |
| MSC:
|
42B20 |
| MSC:
|
42B25 |
| MSC:
|
46E30 |
| . |
| Date available:
|
2013-03-04T13:34:55Z |
| Last updated:
|
2013-03-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702643 |
| . |
