# Article

 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 .

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