Let T be an operator and suppose that there exists a positive constant C such that

for every q which is near enough to 1 and for every interval I in  and  Then we show that T maps uL^∞ to BMO_u.

weighted BMO space, L^∞ space.

Received: February 14, 2022; Accepted: February 27, 2022; Published: March 1, 2022

How to cite this article: Sakin Demir, A sufficient condition for an operator to map uL^∞ to BMO_u, International Journal of Functional Analysis, Operator Theory and Applications 14 (2022), 13-17. http://dx.doi.org/10.17654/0975291922002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] J. Garcia-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland, Mathematics Studies 116 (1985), 1-604(ii-viii).