First course in Sobolev spaces /
A First course in Sobolev spaces
Giovanni Leoni.
- Providence : American Mathematical Society/University Press, 2026.
- xv, 607 pages ; ill. : 24 cm.
- Graduate studies in mathematics 105 .
9789349750920 (pbk.)
Sobolev spaces. Function spaces. Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'" functions, embedding theorems, trace theorems. Real functions -- Functions of one variable -- Fractional derivatives and integrals. Real functions -- Functions of one variable -- Absolutely continuous functions. Functions of a complex variable -- Spaces and algebras of analytic functions -- Besov spaces and $Q-p$-spaces. Partial differential equations -- Miscellaneous topics -- Fractional partial differential equations.