@Article{CMAA-4-2,
author = {Vuillermot, Pierre-A.},
title = {Compact Embeddings and Pitt’s Property for Weighted Sequence Spaces of Sobolev Type},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {2},
pages = {285--295},
abstract = {<p style="text-align: justify;">In this article we introduce a new class of weighted sequence spaces
of Sobolev type and prove several compact embedding theorems for them. It
is our contention that the chosen class is general enough so as to allow applications in various areas of mathematics and mathematical physics. In particular,
our results constitute a generalization of those compact embeddings recently
obtained in relation to the spectral analysis of a class of master equations arising in non-equilibrium statistical mechanics. As a byproduct of our considerations, we also prove a theorem of Pitt’s type asserting that under some conditions every linear bounded operator acting between such weighted spaces is
compact.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0005},
url = {https://global-sci.com/article/91922/compact-embeddings-and-pittrsquos-property-for-weighted-sequence-spaces-of-sobolev-type}
}