Invariant subspaces in Bergman spaces and the biharmonic equation

From MaRDI portal
Publication:1337416

DOI10.1307/mmj/1029004992zbMath0833.46044OpenAlexW2091855704WikidataQ56672817 ScholiaQ56672817MaRDI QIDQ1337416

Peter Duren, C.-E. Sundberg, Harold S. Shapiro, Dmitry Khavinson

Publication date: 20 March 1996

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004992




Related Items (33)

Multivariable Beurling–Lax representations: the commutative and free noncommutative settingsOn the geometry of the multiplier space of \(\ell^p_A\)Simply invariant subspaces of \(H^2\) of some multiply connected regionsBeurling's theorem for the Bergman spaceReproducing kernels and contractive divisors in Bergman spacesMaximal Blaschke productsTrace formula of semicommutatorsExtremal functions as divisors for kernels of Toeplitz operators.Construction of Green functions for weighted biharmonic operators.Invariant subspaces and kernels of Toeplitz operators on the Bergman spaceApproximate spectral synthesis in the Bergman spaceHarmonic functions of maximal growth: invertibility and cyclicity in Bergman spacesSingle-point extremal functions in weighted Bergman spacesSolution of extremal problems in Bergman spaces using the Bergman projectionThe majorization function and the index of invariant subspaces in the Bergman spaces.The zero sets of \(\ell^p_A\) are nestedExtremal problems in the Fock spaceAn integral formula in weighted Bergman spacesInvariant subspaces of finite codimension in Banach spaces of analytic functionsInner functions and zero sets for ℓ^{𝑝}_{𝐴}Maximal inner spaces and Hankel operators on the Bergman spaceRemarks on Inner Functions and Optimal ApproximantsA Blaschke sequence that is not a zero set for ℓ^{𝑝}_{𝐴}On the concept of inner function in Hardy and Bergman spaces in multiply connected domainsOn the failure of canonical factorization in \(\ell_A^p\)Extremal functions in weighted Bergman spacesMean value surfaces with prescribed curvature formInvariant subspaces in Bergman spaces and Hedenmalm's boundary value problemA sharp estimate for extremal functionsLinear graph transformations on spaces of analytic functionsCritical Points, the Gauss Curvature Equation and Blaschke ProductsBergman-type reproducing kernels, contractive divisors, and dilationsMultiple interpolation and extremal functions in the Bergman spaces.




This page was built for publication: Invariant subspaces in Bergman spaces and the biharmonic equation