Extremal problems in interpolation theory, Whitney-Besicovitch coverings, and singular integrals
[Book]
Sergey Kislyakov, Natan Kruglyak.
New York :
Birkhäuser/Springer,
[2013]
Monografie matematyczne ;
new ser., v. 74
Includes bibliographical references (pages 305-311) and index.
1. Classical Calderón-Zygmund decomposition and real interpolation -- 2. Singular integrals -- 3. Classical covering theorems -- 4. Spaces of smooth function and operators on them -- 5. Some topics in interpolation -- 6. Regularization for Banach spaces -- 7. Stability for analytic Hardy spaces -- 8. Controlled coverings -- 9. Construction of near-minimizers -- 10. Stability of near-minimizers -- 11. The omitted case of a limit exponent -- A. Appendix. Near-minimizers for Brudnyi and Triebel-Lizorkin spaces.