Pointwise Variable Anisotropic Function Spaces on ℝⁿ / / Shai Dekel.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Dekel, Shai,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Studies in Mathematics , 85
• Physical Description: 1 online resource (X, 240 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1 Local polynomial approximation over convex domains in ℝn --; 2 Anisotropic multilevel ellipsoid covers of ℝn --; 3 Anisotropic multiresolution analysis --; 4 Anisotropic wavelets and two-level splits --; 5 Anisotropic smoothness spaces --; 6 Anisotropic Hardy spaces --; 7 Anisotropic singular operators --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110761795; 9783110766820; 9783110993899; 9783110994810; 9783110993868; 9783110770445
• ISSN: 0179-0986
• DOI: 10.1515/9783110761795
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Shai Dekel.

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of ℝn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.