Abstract
An inequality of Littlewood-Paley type is proved for the mixed norm spaces L P ( l r ) {L_P}({l_r}) , 1 > p 1 > p , r > ∞ r > \infty , on the interval [ 0 , 1 ] [0,1] . This result makes use of recent work by C. Fefferman and A. Cordoba on the boundedness of singular integrals on these spaces. As an application of this inequality, boundedness of the lacunary maximal partial sum operator for Walsh-Fourier series on L p ( l r ) {L_p}({l_r}) is established. This result can be viewed as an extension of a similar result for the Hardy-Littlewood maximal function due to C. Fefferman and E. M. Stein.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
