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This is the first part of the second revised and extended edition
of the well established book "Function Spaces" by Alois Kufner,
Oldrich John, and Svatopluk Fucik. Like the first edition this
monograph is an introduction to function spaces defined in terms of
differentiability and integrability classes. It provides a
catalogue of various spaces and benefits as a handbook for those
who use function spaces in their research or lecture courses. This
first volume is devoted to the study of function spaces, based on
intrinsic properties of a function such as its size, continuity,
smoothness, various forms of a control over the mean oscillation,
and so on. The second volume will be dedicated to the study of
function spaces of Sobolev type, in which the key notion is the
weak derivative of a function of several variables.
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