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The Muckenhoupt $A_\infty$ class as a metric space and continuity of weighted estimates
Calderon–Zygmund operators A2 weights interpolation
2011/8/25
Abstract: We show how the $A_\infty$ class of weights can be considered as a metric space. As far as we know this is the first time that a metric d is considered on this set. We use this metric to gen...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
turm-Liouville operator left-definite eigenvalue estimate
2011/2/23
The spectral properties of a singular left-definite Sturm-Liouville operator JA are investigated and described via the properties of the corresponding right-definite selfadjoint counterpart A which is...