The estimations for maximal operators
In this paper we study the almost everywhere convergence of the spectral expansions related to the Laplace–Beltrami operator on the unit sphere. Using the spectral properties of the functions with logarithmic singularities, the estimate for maximal operator of the Riesz means of the partial sums of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/23266/1/The%20estimations%20for%20maximal%20operators.pdf |
| _version_ | 1796970325327478784 |
|---|---|
| author | Ahmedov, Anvarjon |
| author_facet | Ahmedov, Anvarjon |
| author_sort | Ahmedov, Anvarjon |
| collection | UPM |
| description | In this paper we study the almost everywhere convergence of the spectral expansions related to the Laplace–Beltrami operator on the unit sphere. Using the spectral properties of the functions with logarithmic singularities, the estimate for maximal operator of the Riesz means of the partial sums of the Fourier–Laplace series is established. We have constructed a different method for investigating the summability problems of Fourier–Laplace series, which based on the theory of spectral decompositions of the self-adjoint Laplace–Beltrami operator. |
| first_indexed | 2024-03-06T07:56:22Z |
| format | Article |
| id | upm.eprints-23266 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:56:22Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | upm.eprints-232662016-02-04T08:01:32Z http://psasir.upm.edu.my/id/eprint/23266/ The estimations for maximal operators Ahmedov, Anvarjon In this paper we study the almost everywhere convergence of the spectral expansions related to the Laplace–Beltrami operator on the unit sphere. Using the spectral properties of the functions with logarithmic singularities, the estimate for maximal operator of the Riesz means of the partial sums of the Fourier–Laplace series is established. We have constructed a different method for investigating the summability problems of Fourier–Laplace series, which based on the theory of spectral decompositions of the self-adjoint Laplace–Beltrami operator. 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23266/1/The%20estimations%20for%20maximal%20operators.pdf Ahmedov, Anvarjon (2011) The estimations for maximal operators. Applied Mathematics Letters, 24 (1). pp. 615-619. ISSN 0893-9659 http://dx.doi.org/10.1016/j.aml.2010.11.023 10.1016/j.aml.2010.11.023 |
| spellingShingle | Ahmedov, Anvarjon The estimations for maximal operators |
| title | The estimations for maximal operators |
| title_full | The estimations for maximal operators |
| title_fullStr | The estimations for maximal operators |
| title_full_unstemmed | The estimations for maximal operators |
| title_short | The estimations for maximal operators |
| title_sort | estimations for maximal operators |
| url | http://psasir.upm.edu.my/id/eprint/23266/1/The%20estimations%20for%20maximal%20operators.pdf |
| work_keys_str_mv | AT ahmedovanvarjon theestimationsformaximaloperators AT ahmedovanvarjon estimationsformaximaloperators |