Boundedness of the Segal-Bargmann transform on fractional Hermite-Sobolev spaces

DOI10.1155/2017/9176914zbMath1377.46023OpenAlexW2577904558WikidataQ59146444 ScholiaQ59146444MaRDI QIDQ2397008

Hong Rae Cho, Hyunil Choi, Han-Wool Lee

Publication date: 29 May 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/9176914

zbMATH Keywords

fractional Sobolev spaceSegal-Bargmann transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (3)

Unnamed Item ⋮ Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces ⋮ FRACTIONAL FOCK–SOBOLEV SPACES

Cites Work

• Unnamed Item
• Fock-Sobolev spaces of fractional order
• Regularity theory for the fractional harmonic oscillator
• Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
• Sobolev spaces associated to the harmonic oscillator
• Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
• Fock-Sobolev spaces and their Carleson measures
• Analysis on Fock Spaces
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Interpolation of Operators with Change of Measures
• Quantum Theory for Mathematicians
• Towards a dictionary for the Bargmann transform

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