INTERPOLATION OF OPERATORS ON Lp


What is interpolation of operators in Lebesgue spaces?

In this chapter we overview the technique of interpolation of operators, which is widely used in harmonic analysis in connection with Lebesgue spaces. The underlying idea is to obtain boundedness of an operator based on the available information in the endpoints.

What are some good references for interpolation of operators?

INTERPOLATION OF OPERATORS: RIESZ-THORIN, MARCINKIEWICZ MATT ZIEMKE References 1. L.Grafakos,Classical Fourier Analysis,GraduateTextsinMathematics,Vol. 249,Springer, NewYork,2008.

What is the basic operation of linear interpolation?

The basic operation of linear interpolation between two values is so commonly used in computer graphics that it is sometimes called a lerp in that field's jargon. The term can be used as a verb or noun for the operation. e.g. "Bresenham's algorithm lerps incrementally between the two endpoints of the line.".

How to interpolate a function using Lagrange interpolation?

I interpolate a function using Lagrange Interpolation. A Func can be then easily constructed using DLINQ. e.g public Func GetFunction () { LagrangeInterpolation lagInter = new LagrangeInterpolation (xVals, yVals); return ( val => lagInter (GetValue (val) ); } This returns the Func object.

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