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A Pair of Indices for Function Spaces on the Circle

A Pair of Indices for Function Spaces on the Circle

We give here some of the basic properties of the classes $\{ {\Phi _r}\}$, $\{ {\Psi _r}\} , - 1 < r < 1$, of dilation operators acting in rearrangement-invariant spaces $\mathfrak {X}$ on the circle It is shown that to each space $\mathfrak {X}$ there correspond two numbers $\xi …