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Article

Kokilashvili, Vakhtang
Singular integrals and strong maximal functions in weighted grand Lebesgue spaces. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the International School held in Třešť, September 11-17, 2010. Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 261-269
MSC: 42B20, 42B25, 46E30
Keywords:
grand Lebesgue spaces; singular integrals with multiple kernels; strong maximal functions; weight; one-weight inequality; weighted integral operators
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.
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