MATHEMATICAL ANALYSIS WITH APPLICATIONS Seminar

 

PROGRAM

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Plan rada Seminar iz matematičke analize sa primenama za NOVEMBAR 2024.

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Neulogovani korisnici mogu pratiti prenos predavanja na ovom linku (ali ne mogu postavljati pitanja osim putem chata i ne ulaze u evidenciju prisustva):
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Četvrtak, 07.11.2024. u 16:00, Online
Serap Öztop Kaptanoğlu, Istanbul University
A NOTE ON ORLICZ AMALGAM SPACES
Let Φ₁, Φ₂ be Young functions and ω be a moderate weight function on ℝⁿ. We introduce the weighted Orlicz amalgam spaces W(L^Φ₁(ℝⁿ), L_ω^Φ₂(ℝⁿ)) defined on ℝⁿ, where the local component space is the Orliczspace L^Φ₁(ℝⁿ) and the global component is the weighted Orlicz space L_ω^Φ₂(ℝⁿ). We derive some properties of the spaces W(L^Φ₁(ℝⁿ), L_ω^Φ₂(ℝⁿ)) such as translation invariance, density and duality. We obtain an equivalent discrete-type norm on W(L^Φ₁(ℝⁿ), L_ω^Φ₂(ℝⁿ)). We are interested in inclusion relations between the Orlicz amalgam spaces W(L^Φ₁(ℝⁿ), L_ω^Φ₂(ℝⁿ)) with respect to Young functions and weights. Among other things, we show that inclusion relations among the local components imply inclusion relations for the amalgams.
This talk is based on joint work with Büşra Arıs.

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