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?
Estimates of Zygmund type make it possible to reveal the nature of the action of mixed integral operators of the Volterra convolution type in weighted generalized Hölder spaces.
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This page is a summary of: MIXED INTEGRAL OPERATOR OF THE VOLTERRA CONVOLUTION TYPE IN WEIGHTED GENERALIZED HÖLDER SPACE, Poincare Journal of Analysis and Applications, June 2023, Poincare Publishers,
DOI: 10.46753/pjaa.2023.v010i01.010.
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