Here is an accessible introduction to the theory of variable Lebesgue spaces, beginning with the development of the basic function space properties, moving through harmonic analysis on variable Lebesgue spaces to basic results about variable Sobolev spaces.
Here is an accessible introduction to the theory of variable Lebesgue spaces, beginning with the development of the basic function space properties, m...
David V. Cruz-Uribe Alberto Fiorenza Michael Ruzhansky
Divided into two parts, this book targets graduate students and researchers who want to learn about variable Lebesgue spaces and partial differential equations. Part I provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces likethe classical Lebesgue spaces but with the constant exponent replaced by an exponent function. These spaces arise naturally in the study of partial differential equations and variational integrals with non-standard growth conditions. They have applications to electrorheological fluids in physics and to image reconstruction. Part IIof...
Divided into two parts, this book targets graduate students and researchers who want to learn about variable Lebesgue spaces and partial differential ...
