Generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on domains
Copyright policy )Generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on domains
AbstractIn this paper, we consider a non‐smooth atomic decomposition by using a smooth atomic decomposition. Applying the non‐smooth atomic decomposition, a local means characterization and a quarkonical decomposition, we obtain a pointwise multiplier and a trace operator for generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on the whole space. We also develop the theory of those spaces on domains. We consider an extension operator and a trace operator on the upper half space and on compact oriented Riemannian manifolds.
- Tokyo City University Japan
- Tokyo Metropolitan University Japan
Morrey space, Manifolds of metrics (especially Riemannian), trace operator, Triebel-Lizorkin space, non-smooth atomic decomposition, Function spaces arising in harmonic analysis, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Besov space
Morrey space, Manifolds of metrics (especially Riemannian), trace operator, Triebel-Lizorkin space, non-smooth atomic decomposition, Function spaces arising in harmonic analysis, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Besov space
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