In this paper, we introduce and study the concept of the ingredient modulus of smoothness in component form in Lp→(Rd) and a kind of mixed-norm Sobolev space. We obtain some… Click to show full abstract
In this paper, we introduce and study the concept of the ingredient modulus of smoothness in component form in Lp→(Rd) and a kind of mixed-norm Sobolev space. We obtain some new properties, inequalities, and auxiliary results in mixed-norm spaces Lp→(Rd). In addition, a new concept of mixed-norm Besov space is presented and a new decomposition theorem for mixed-norm Besov spaces is established.
Keywords:
ingredient modulus;
norm besov;
mixed norm;
modulus smoothness;
norm
Journal Title: Symmetry
Year Published: 2023
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Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!