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Full-Text Articles in Physical Sciences and Mathematics
Description Of Invariant Subspaces In Terms Of Berezin Symbols, Suna Saltan
Description Of Invariant Subspaces In Terms Of Berezin Symbols, Suna Saltan
Turkish Journal of Mathematics
We consider the stretching operator $\left( T_{w}f\right) \left( z\right) =f(wz)$ and the multiple shift operator $S^{n}f=z^{n}f$ on the Hardy spaces $% H^{p}(\mathbb{D})$ $\left( 1\leq p
On The Summability Methods Of Logarithmic Type And The Berezin Symbol, Ulaş Yamanci
On The Summability Methods Of Logarithmic Type And The Berezin Symbol, Ulaş Yamanci
Turkish Journal of Mathematics
We prove by means of the Berezin symbols some theorems for the $\left( L\right) $-summability method for sequences and series. Also, we prove a new Tauberian type theorem for $\left( L\right) $-summability.
Remarks On The Zero Toeplitz Product Problem In The Bergman And Hardy Spaces, Mübari̇z Tapdigoğlu Garayev, Mehmet Gürdal
Remarks On The Zero Toeplitz Product Problem In The Bergman And Hardy Spaces, Mübari̇z Tapdigoğlu Garayev, Mehmet Gürdal
Turkish Journal of Mathematics
In this article, we are interested in the zero Toeplitz product problem: for two symbols $f,g\in L^{\infty}\left( \mathbb{D},dA\right) ,$\ if the product $T_{f}T_{g}$\ is identically zero on $L_{a}^{2}\left( \mathbb{D}\right), $\ then can we claim $T_{f}$\ or $T_{g}$\ is identically zero? We give a particular solution of this problem. A new proof of one particular case of the zero Toeplitz product problem in the Hardy space $H^{2}\left( \mathbb{D}% \right) $ is also given.