Items related to Function Spaces, Volume 1: Banach Function Spaces (de...

Function Spaces, Volume 1: Banach Function Spaces (de Gruyter Series In Nonlinear Analysis And Applications): 14 - Hardcover

Book 16 of 39: De Gruyter Series in Nonlinear Analysis and Applications

Pick, Lubos; Kufner, Alois; John, Oldrich; Fucik, Svatopluk

 
9783110250411: Function Spaces, Volume 1: Banach Function Spaces (de Gruyter Series In Nonlinear Analysis And Applications): 14

Synopsis

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 Fucík. 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.

"synopsis" may belong to another edition of this title.

About the Author

Luboš Pick, Charles University, Prague, Czech Republic; Alois Kufner, The Academy of Sciences of the Czech Republic, Prague, Czech Republic; Oldrich John, Charles University, Prague, Czech Republic; Svatopluk Fucík †.

From the Back Cover

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 Fucík. 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.

"About this title" may belong to another edition of this title.