Fock-sobolev Spaces and Their Carleson Measures
نویسندگان
چکیده
We consider the Fock-Sobolev space F p,m consisting of entire functions f such that f , the m-th order derivative of f , is in the Fock space F . We show that an entire function f is in F p,m if and only if the function zf(z) is in F . We also characterize the Carleson measures for the spaces F , establish the boundedness of the weighted Fock projection on appropriate L spaces, identify the Banach dual of F , and compute the complex interpolation space between two F p,m spaces.
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