ON QUASI-UNIVERSAL WALSH SERIESINLp[0,1],p∈[1,2]

Melikbekyan Melikbekyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Let the sequence{ak}∞k=1,ak↘0 with{ak}∞k=1/∈l2,and Walsh system{Wk(x)}∞k=0be given.Then for anyε>0 there exists a measurable setE⊂[0,1]with measure|E|>1−εand numbersδk=±1,0 such that foranyp∈[1,2]and each functionf(x)∈Lp(E)there exists a rearrangementk→σ(k)such that the series∞∑k=1δσ(k)aσ(k)Wσ(k)(x)converges tof(x)in thenorm ofLp(E).

Author(s)

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

ON q-LATTICES AND q-ALGEBRAS

ON INCREASING HAZARD RATE OF WAITING TIME IN THE ||1|∞MG MODEL

ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

ON QUASI-UNIVERSAL WALSH SERIESINLp[0,1],p∈[1,2]

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter