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Abstract In this paper, we prove the completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions under weak conditions. That is, for every ρ ∈ U ∞… Click to show full abstract
Abstract In this paper, we prove the completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions under weak conditions. That is, for every ρ ∈ U ∞ , the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions is complete under the norm ‖ ⋅ ‖ S p . The main method used is to skillfully construct the decomposition of a function, then a norm inequality is established and to get the related convergent subsequences of Cauchy sequences in the space.
Keywords:
space;
weighted stepanov;
pseudo almost;
space weighted;
like pseudo;
stepanov like
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!