L-matrices with lacunary coefficients
Ludovick Bouthat, Javad Mashreghi · Operators and Matrices · 2021
We show that an L -matrices A = [a n ] , with lacunary coefficients (a n ) is a bounded operator on 2 , provided that (a n ) satisfy an explicit decay rate. Moreover, by a concrete example, we see that the decay restriction is optimal. The extension to operators on p spaces, for p > 1 , is also discussed.