RIESZ–BESSEL ALMASHTIRISHLARI VA ULARNING KOMMUTATORLARI UCHUN FEFFERMAN–STEIN TIPIDAGI TENGLIKLAR
DOI:
https://doi.org/10.5281/zenodo.20323397Keywords:
Riesz–Bessel almashtirishi, Fefferman–Stein tengsizligi, kommutator, BMO fazosi, Young funksiyasi, Orlicz fazosi, maksimal operator, og‘irlikli Lebeg fazosi, Bessel operatori. KirishAbstract
Ushbu tezisda Riesz–Bessel almashtirishlari hamda ularning BMO simvollari yordamida aniqlanadigan kommutatorlari uchun Fefferman–Stein tipidagi og‘irlikli tengsizliklar tadqiq etiladi. Tadqiqot davomida klassik Calderon–Zigmund operatorlari uchun ma’lum bo‘lgan natijalar Riesz–Bessel muhiti uchun umumlashtiriladi. Ishda og‘irlikli Lebeg fazolari, Young funksiyalari, Orlicz tipidagi maksimal operatorlar va BMO fazosining xossalaridan foydalanilib, kommutatorlar uchun aralash kuchsiz tipdagi baholashlar olinadi.References
Stein E. M. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton University Press, 1993.
Grafakos L. Classical Fourier Analysis. Springer, 2014.
Fefferman C., Stein E. M. Some maximal inequalities // American Journal of Mathematics. 1971. Vol. 93. P. 107–115.
Muckenhoupt B. Weighted norm inequalities for the Hardy maximal function // Transactions of the American Mathematical Society. 1972. Vol. 165. P. 207–226.
Grafakos L. Classical Fourier Analysis. Springer, 2014.
Fefferman C., Stein E. M. Some maximal inequalities // American Journal of Mathematics. 1971. Vol. 93. P. 107–115.
Muckenhoupt B. Weighted norm inequalities for the Hardy maximal function // Transactions of the American Mathematical Society. 1972. Vol. 165. P. 207–226.
Published
2026-05-21
Issue
Section
Статьи
How to Cite
Ozoda. (2026). RIESZ–BESSEL ALMASHTIRISHLARI VA ULARNING KOMMUTATORLARI UCHUN FEFFERMAN–STEIN TIPIDAGI TENGLIKLAR. Theoretical Aspects in the Formation of Pedagogical Sciences, 5(9), 102-104. https://doi.org/10.5281/zenodo.20323397
