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Viser: Morrey Spaces - Introduction and Applications to Integral Operators and PDE's
Morrey Spaces
Introduction and Applications to Integral Operators and PDE's
Yoshihiro Sawano, Giuseppe Di Fazio, Denny I. Hakim og Shohei Nakamura
(2018)
Sprog: Engelsk
CRC Press LLC
2.088,00 kr.
Denne bog er endnu ikke udgivet. Den forventes Jul 2018.
Detaljer om varen
- Hardback: 500 sider
- Udgiver: CRC Press LLC (Juli 2018)
- Forfattere: Yoshihiro Sawano, Giuseppe Di Fazio, Denny I. Hakim og Shohei Nakamura
- ISBN: 9781498765510
The contents of this book are dedicated to the theoretical aspect of Morrey spaces. In addition, applications to PDEs is provided. Some of the topics described include Bilinear estimates, Boundedness of pseudo-differential operators; Elliptic differential operators and Fractional integral operators. This book gives examples in many fields of analysis, functional analysis, Fourier analysis and so on. Many concrete Banach spaces appear as well as the boundedness of the operators. In addition, the reader will grasp important notions of reflexivity and separability of Banach spaces. Finally, interpolation theory is also covered.
Lebesgue Spaces - Review of Elementary Inequalities. Preliminaries from Measure Theory. Integral Inequalities. Lebesgue Space Lp. Spherical Harmonic Functions. Integration with Respect to Capacity. Various Operators in Lebesgue Spaces. Hardy-Littlewood Maximal Operator on Lebesgue Spaces with General Radon Measures on Metric Measure Spaces. Maximal Operators on Euclidean Spaces with General Radon Measures. Singular Integral Operators. Fractional Integral Operators. Commutators. Morrey Spaces
. Morrey Spaces. Predual of Morrey Spaces. Campanato Spaces. Morrey Boundedness of Operators. Maximal Inequalities for Morrey Spaces. Integral Operators on Morrey Spaces. Generalized Morrey Spaces. Morrey Spaces for Non-doubling Measures. Generalized Morrey Spaces. Orlicz-Morrey Spaces. Weighted Morrey Spaces. Morrey Spaces on the Metric Measure Space Setting. Related Function Spaces. Pointwise Multiplier. Pointwise Multipliers. Pointwise Multiplier for BMO (Rn). Interpolation
. Complex Interpolation. Real Interpolation. Decompositions. Non-smooth Decomposition of Morrey Spaces. Smooth Decomposition of Morrey Spaces. Applications to PDE. Smoothness Morrey Spaces and Sobolev Embeddings. Application of Bilinear Estimates to PDE. Application of Elliptic Differential Equations. Other Applications to PDE.
. Morrey Spaces. Predual of Morrey Spaces. Campanato Spaces. Morrey Boundedness of Operators. Maximal Inequalities for Morrey Spaces. Integral Operators on Morrey Spaces. Generalized Morrey Spaces. Morrey Spaces for Non-doubling Measures. Generalized Morrey Spaces. Orlicz-Morrey Spaces. Weighted Morrey Spaces. Morrey Spaces on the Metric Measure Space Setting. Related Function Spaces. Pointwise Multiplier. Pointwise Multipliers. Pointwise Multiplier for BMO (Rn). Interpolation
. Complex Interpolation. Real Interpolation. Decompositions. Non-smooth Decomposition of Morrey Spaces. Smooth Decomposition of Morrey Spaces. Applications to PDE. Smoothness Morrey Spaces and Sobolev Embeddings. Application of Bilinear Estimates to PDE. Application of Elliptic Differential Equations. Other Applications to PDE.
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