On the universal function for weighted spaces L^p_u[0,1], p>=1
classification
🧮 math.CA
math.FA
keywords
functionuniversalclassesexistfourier-walshrespectseriessigns-subseries
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In the paper it is shown that there exist a function g from L1[0,1] and a weight function 0<u(x)<=1, so that g is universal for each classes L^p_u[0,1], p>= 1 with respect to signs-subseries of its Fourier-Walsh series.
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