Overview

This is the first part of the third corrected and extended edition of a well established monograph. It 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 to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces.

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9783110581775

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The volume under review contains both basic and less known results regarding various spaces of integrable functions and will remain an important source of information for students and researchers alike. It is a book which any reader interested in the theory of spaces of scalar-valued integrable functions should consult. Mathematical Reviews

"""The volume under review contains both basic and less known results regarding various spaces of integrable functions and will remain an important source of information for students and researchers alike. It is a book which any reader interested in the theory of spaces of scalar-valued integrable functions should consult."" Mathematical Reviews"

Author Information

Luboš Pick, Oldřich John, Charles Univ., Prague, Czech Rep.; Alois Kufner, The Academy of Sci., Prague, Czech Rep.; Svatopluk Fučík †.

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