Two-weighted criteria for integral transforms with multiple kernels

• Autorzy: Vakhtang Kokilashvili , Alexander Meskhi
• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions governing two-weight $L^p$ norm estimates for multiple Hardy and potential operators are presented. Two-weight inequalities for potentials defined on nonhomogeneous spaces are also discussed. Sketches of the proofs for most of the results are given.

Kategorie tematyczne

• 31B15: Potentials and capacities, extremal length
• 26A33: Fractional derivatives and integrals
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 47G10: Integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 119-140

Daty

wydano

2006

Twórcy

autor

Vakhtang Kokilashvili

• International Black Sea University, 2, Agmashenebeli Alley 13th km., Tbilisi 0131, Georgia

autor

Alexander Meskhi

• A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., 0193 Tbilisi, Georgia
• Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Identyfikatory

DOI

10.4064/bc72-0-9