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Let (X,u) be a measure space. In thispaper, using some ideas from L. Grafakos and N. Kalton, the authorsestablish an off-diagonal Marcinkiewicz interpolation theorem for aquasilinear operator T in Lor...
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
Denote by the projection operator obtained by applying the Lagrange interpolation method, weighted by , at the zeros of the Chebyshev polynomial of the second kind of degree . The norm , where de...
INTRODUCTION.Itisthepurposeofthispapertopresentsomeresults,ontheproblemofinterpolationandapproximationtoafunctiouf(z),analyticonaclosedlimitedpointsetEinthecomplexz-planewhosecomplementKisconnectedand...
We work with the abstract K and J interpolation method generated by a sequence lattice $\Gamma$. We investigate the deviation of an interpolated operator from a given operator ideal by establishing fo...

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