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Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of .
Javad Mashreghi, and Mahmood Shabankhah. "Admissible functions for the Dirichlet space." Studia Mathematica 198.2 (2010): 147-156. <http://eudml.org/doc/285456>.
@article{JavadMashreghi2010, abstract = {Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of $^\{∞\}$.}, author = {Javad Mashreghi, Mahmood Shabankhah}, journal = {Studia Mathematica}, keywords = {zero set; uniqueness set; Dirichlet space; Carleson set}, language = {eng}, number = {2}, pages = {147-156}, title = {Admissible functions for the Dirichlet space}, url = {http://eudml.org/doc/285456}, volume = {198}, year = {2010}, }
TY - JOUR AU - Javad Mashreghi AU - Mahmood Shabankhah TI - Admissible functions for the Dirichlet space JO - Studia Mathematica PY - 2010 VL - 198 IS - 2 SP - 147 EP - 156 AB - Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of $^{∞}$. LA - eng KW - zero set; uniqueness set; Dirichlet space; Carleson set UR - http://eudml.org/doc/285456 ER -