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An Off-Diagonal Marcinkiewicz Interpolation Theorem on Lorentz Spaces
quasilinear operator Marcinkiewicz interpolation theorem Lorentz space restricted weak type estimate
2011/10/10
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...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
On a Weighted Interpolation of Functions with Circular Majorant
Interpolation Lagrange interpolation Weighted interpolation Circular majorant Projection norm Lebesgue constant Chebyshev polynomial
2010/1/22
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...
Interpolation of Ideal Measures by Abstract $K$ and $J$ Spaces
real interpolation ideal measures operator ideals shift operators
2007/12/10
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...