One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces
Tom 102 / 2014
Banach Center Publications 102 (2014), 131-142
MSC: Primary 42B20, 42B25; Secondary 46E30.
DOI: 10.4064/bc102-0-9
Streszczenie
We investigate weak type estimates for maximal functions, fractional and singular integrals in grand Lebesgue spaces. In particular, we show that for the one–weight weak type inequality it is necessary and sufficient that a weight function belongs to the appropriate Muckenhoupt class. The same problem is discussed for strong maximal functions, potentials and singular integrals with product kernels.
