Weighted norm inequalities for averaging operators of monotone functions.
We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use phi-transform of Frazier-Jawerth.