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Pseudodifferential Operators Approach to Singular Integral Operators in Weighted Variable Exponent Lebesgue Spaces on Carleson Curves

✍ Scribed by Vladimir Rabinovich; Stefan Samko

Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
525 KB
Volume
69
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

Maximal operators on variable Lebesgue s
Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves
✍ Alexei Yu. Karlovich 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __φ~t,γ~__ (__τ__) = |(__τ__ – __t__)^__γ__^ |, where __γ__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point