Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces

Gumber A., Rana N., Toft J., ÜSTER R.

JOURNAL OF FUNCTIONAL ANALYSIS, cilt.286, sa.3, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 286 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.jfa.2023.110225
  • Dergi Adı: JOURNAL OF FUNCTIONAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Entropy functional, Essential inverse, Orlicz modulation spaces, Pseudo-differential operator
  • İstanbul Üniversitesi Adresli: Evet

Özet

We deduce continuity properties for pseudo-differential operators with symbols in Orlicz modulation spaces when acting on other Orlicz modulation spaces. In particular we extend wellknown results in the literature. For example we generalize the classical result by Cordero and Nicola that if 1 + p 1 ql 1 p1 1 + p2 , 1 + p 1 ql 1 q1 1 + q2 , pj, qj qql, q 5 p and a is an element of Mp,q, then the pseudo-differential operator Op(a) is continuous from Mp1,q1 to Mp2,q2. We also show that the entropy functional E phi possess suitable continuity properties on a suitable Orlicz modulation space M phi satisfying Mp subset of M phi subset of M2, though E phi is discontinuous on M2 = L2.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).