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• W2964104079 abstract "We describe the $$(p,q)$$ Fock–Carleson measures for weighted Fock–Sobolev spaces in terms of the objects $$(s,t)$$ -Berezin transforms, averaging functions, and averaging sequences on the complex space $$mathbb{C }^n$$ . The main results show that while these objects may have growth not faster than polynomials to induce the $$(p,q)$$ measures for $$qge p$$ , they should be of $$L^{p/(p-q)}$$ integrable against a weight of polynomial growth for $$q<p$$ . As an application, we characterize the bounded and compact weighted composition operators on the Fock–Sobolev spaces in terms of certain Berezin type integral transforms on $$mathbb{C }^n$$ . We also obtained estimation results for the norms and essential norms of the operators in terms of the integral transforms. The results obtained unify and extend a number of other results in the area." @default.
• W2964104079 created "2019-07-30" @default.
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• W2964104079 date "2013-07-23" @default.
• W2964104079 modified "2023-10-09" @default.
• W2964104079 title "Carleson Type Measures for Fock–Sobolev Spaces" @default.
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• W2964104079 doi "https://doi.org/10.1007/s11785-013-0321-7" @default.
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