Modular estimates of integral operators with homogeneous kernels in Orlicz type classes

DOI10.1007/BF03322414zbMath0754.47022MaRDI QIDQ1174610

Gianluca Vinti, Carlo Bardaro

Publication date: 25 June 1992

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

dilationsOrlicz classeshomogeneous kernelgeneralized Orlicz classesintegral operators with homogeneous kernelmodular functionalsMusielak-Orlicz classes

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15) Modular spaces (46A80) General integral transforms (44A05)

Related Items (5)

A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Some inclusion theorems for Orlicz and Musielak-Orlicz type spaces ⋮ Some estimates of certain integral operators in generalized fractional orlicz classes ⋮ Convergence for a family of neural network operators in Orlicz spaces ⋮ A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer

Cites Work

• Orlicz spaces and modular spaces
• On convergence of singular integrals in the generalized variation metric
• On generalized variations (I)
• On Convergence of Moment Operators with Respect to ϕ Variation
• Modular convergence in generalized orlicz spaces for moment type operators
• A note on a paper of E.R. Love
• Indices of Function Spaces and their Relationship to Interpolation
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