\(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order

DOI10.4171/ZAA/1117zbMath1037.46030MaRDI QIDQ1811429

D. N. Karasev, V. A. Nogin

Publication date: 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Bochner-Riesz operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33)

Related Items (3)

Complex powers of a nonelliptic differential operator in \(L_p\)-spaces ⋮ On the boundedness of some potential‐type operators with oscillating kernels ⋮ Bochner-Riesz operators in grand Lebesgue spaces

Cites Work

• Inversion theorems for poterntial-type integral transforms in a and ons^n-1
• Method of approximating inverse operators and its applications to the inversion of potential-type integral transforms
• A restriction theorem for the Fourier transform
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