Analysis on Function Spaces of Musielak-Orlicz Type
About this ebook
Musielak-Orlicz spaces came under renewed interest when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces on to center stage. Since then, research efforts have typically been oriented towards carrying over the results of classical analysis into the framework of variable exponent function spaces. In recent years it has been suggested that many of the fundamental results in the realm of variable exponent Lebesgue spaces depend only on the intrinsic structure of the Musielak-Orlicz function, thus opening the door for a unified theory which encompasses that of Lebesgue function spaces with variable exponent.
Features
- Gives a self-contained, concise account of the basic theory, in such a way that even early-stage graduate students will find it useful
- Contains numerous applications
- Facilitates the unified treatment of seemingly different theoretical and applied problems
- Includes a number of open problems in the area
About the author
Osvaldo Mendez is an associate professor at University of Texas at El Paso. His areas of research include Harmonic Analysis, Partial Differential Equations and Theory of Function Spaces. Professor Mendez has authored one book and one edited book.
Jan Lang is a professor of mathematics at The Ohio State University. His areas of interest include the Theory of Integral operators, Approximation Theory, Theory of Function spaces and applications to PDEs. He is the author of two books and one edited book.
