Interpolation Of Operators, Volume 129 (pure And Applied Mathematics)
by Colin Bennett /
1988 / English / PDF
4.8 MB Download
This book presents interpolation theory from its classical roots
beginning with Banach function spaces and equimeasurable
rearrangements of functions, providing a thorough introduction to
the theory of rearrangement-invariant Banach function spaces. At
the same time, however, it clearly shows how the theory should be
generalized in order to accommodate the more recent and powerful
applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive
detailed treatment, as do the classical interpolation theorems and
their applications in harmonic analysis.
This book presents interpolation theory from its classical roots
beginning with Banach function spaces and equimeasurable
rearrangements of functions, providing a thorough introduction to
the theory of rearrangement-invariant Banach function spaces. At
the same time, however, it clearly shows how the theory should be
generalized in order to accommodate the more recent and powerful
applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive
detailed treatment, as do the classical interpolation theorems and
their applications in harmonic analysis.
The text includes a wide range of techniques and applications, and
will serve as an amenable introduction and useful reference to the
modern theory of interpolation of operators.
The text includes a wide range of techniques and applications, and
will serve as an amenable introduction and useful reference to the
modern theory of interpolation of operators.