What is it about?
Weighted Zygmund type estimates are obtained for the mixed continuity modulus of some convolution type integrals. In the case of mixed fractional integrals this strengthened to a result on isomorphism between certain weighted generalized Hölder type spaces
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Why is it important?
We obtain weighted Zygmund type estimates for mixed integrals of the Volterra convolution type in the weighted generalized Hölder space of the function of two variables defined by the mixed modulus of continuity.
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This page is a summary of: Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces, October 2021, Lattice Science Publication (LSP),
DOI: 10.35940/ijam.b1105.101221.
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