Divergence of general localized operators on the sets of measure zero
Abstract
We consider sequences of linear operators Unf(x) with localization property. It is proved that for any set E of measure zero there exists a set G for which UnG(x) diverges at each point x∈ E. This result is a generalization of analogous theorems known for the Fourier sums operators with respect to different orthogonal systems.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.