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- 1.0585978 - MÚ 2025 RIV TR eng J - Journal Article
Bokayev, N. A. - Gogatishvili, Amiran - Abek, A. N.
Cones of monotone function generated by a generalized fractional maximal function.
TWMS Journal of Pure and Applied Mathematics. Roč. 15, č. 1 (2024), s. 127-141. ISSN 2076-2585. E-ISSN 2219-1259
R&D Projects: GA ČR(CZ) GA23-04720S
Institutional support: RVO:67985840
Keywords : re-arrangement function * invariant spaces * maximal function * function spaces
OECD category: Pure mathematics
Impact factor: 3.8, year: 2022
Method of publishing: Limited access
https://doi.org/10.30546/2219-1259.15.1.2024.2487
Permanent Link: https://hdl.handle.net/11104/0353604 - 2.0585956 - MÚ 2025 RIV DE eng J - Journal Article
Gogatishvili, Amiran - Opic, B. - Tikhonov, S. - Trebels, W.
A unified approach to inequalities for K-functionals and moduli of smoothness.
Mathematische Zeitschrift. Roč. 307, č. 2 (2024), č. článku 24. ISSN 0025-5874. E-ISSN 1432-1823
R&D Projects: GA ČR(CZ) GA23-04720S; GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : Holmstedt formulas * K-functionals * Lorentz-Karamata spaces
OECD category: Pure mathematics
Impact factor: 0.8, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00209-024-03484-x
Permanent Link: https://hdl.handle.net/11104/0353589File Download Size Commentary Version Access Gogatishvili.pdf 0 681.9 KB Publisher’s postprint require - 3.0579223 - MÚ 2024 RIV DE eng J - Journal Article
Ahmed, I. - Fiorenza, A. - Gogatishvili, Amiran
Holmstedt's formula for the K-functional: the limit case θ0=θ1.
Mathematische Nachrichten. Roč. 296, č. 12 (2023), s. 5474-5492. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR(CZ) GA23-04720S
Institutional support: RVO:67985840
Keywords : Holmstedt's formula * K-functional * K-interpolation spaces * slowly varying functions
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://doi.org/10.1002/mana.202200440
Permanent Link: https://hdl.handle.net/11104/0348075File Download Size Commentary Version Access Gogatishvili4.pdf 0 263.7 KB Publisher’s postprint open-access - 4.0578437 - MÚ 2024 RIV HU eng J - Journal Article
Ahmed, I. - Fiorenza, A. - Formica, M. R. - Gogatishvili, Amiran - El Hamidi, A. - Rakotoson, J. M.
Quasilinear PDEs, interpolation spaces and Hölderian mappings.
Analysis Mathematica. Roč. 49, č. 4 (2023), s. 895-950. ISSN 0133-3852. E-ISSN 1588-273X
R&D Projects: GA ČR(CZ) GA23-04720S
Institutional support: RVO:67985840
Keywords : anisotropic-variable exponent * Hölderian operator * interpolation * quasilinear equation * regularity
OECD category: Pure mathematics
Impact factor: 0.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s10476-023-0245-z
Permanent Link: https://hdl.handle.net/11104/0347433File Download Size Commentary Version Access Gogatishvili3.pdf 2 617.2 KB Publisher’s postprint require - 5.0575313 - MÚ 2024 RIV KZ eng J - Journal Article
Bokayev, N. A. - Gogatishvili, Amiran - Abek, A. N.
Cones generated by a generalized fractional maximal function.
Bulletin of the Karaganda University. Mathematics Series. Roč. 110, č. 2 (2023), s. 53-62. ISSN 2518-7929
Institutional support: RVO:67985840
Keywords : cones generated by generalized fractional-maximal function * covering of cones * non-increasing rearrangements of functions
OECD category: Pure mathematics
Method of publishing: Open access
https://dx.doi.org/10.31489/2023M2/53-62
Permanent Link: https://hdl.handle.net/11104/0345097File Download Size Commentary Version Access Gogatishvili2.pdf 0 350.7 KB Publisher’s postprint open-access - 6.0574188 - MÚ 2024 RIV KZ eng J - Journal Article
Bokayev, N. A. - Gogatishvili, Amiran
On estimates of non-increasing rearrangement of generalized fractional maximal function.
Eurasian Mathematical Journal. Roč. 14, č. 2 (2023), s. 13-23. ISSN 2077-9879
Institutional support: RVO:67985840
Keywords : generalized fractional maximal function * non-increasing rearrangements * generalized Riesz potential
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://dx.doi.org/10.32523/2077-9879-2023-14-2-13-23
Permanent Link: https://hdl.handle.net/11104/0344537File Download Size Commentary Version Access Gogatishvili1.pdf 0 399.1 KB Publisher’s postprint open-access - 7.0564919 - MÚ 2024 RIV PL eng J - Journal Article
Edmunds, D. E. - Gogatishvili, Amiran - Nekvinda, A.
Almost compact and compact embeddings of variable exponent spaces.
Studia mathematica. Roč. 268, č. 2 (2023), s. 187-211. ISSN 0039-3223. E-ISSN 1730-6337
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : almost-compact embeddings * Banach function spaces * variable Lebesgue spaces * variable Sobolev spaces
OECD category: Pure mathematics
Impact factor: 0.8, year: 2022
Method of publishing: Limited access
Permanent Link: https://hdl.handle.net/11104/0336493File Download Size Commentary Version Access Gogatishvili.pdf 3 507.1 KB Publisher’s postprint require - 8.0564898 - MÚ 2023 RIV DE eng J - Journal Article
Gogatishvili, Amiran - Pick, L. - Tuğçe, Ü.
Weighted inequalities for discrete iterated kernel operators.
Mathematische Nachrichten. Roč. 295, č. 11 (2022), s. 2171-2196. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : weighted inequality * kernel operator * supremum operator
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1002/mana.202000144
Permanent Link: https://hdl.handle.net/11104/0336468File Download Size Commentary Version Access Gogatishvili6.pdf 2 341.1 KB Publisher’s postprint require - 9.0564457 - MÚ 2023 RIV IT eng J - Journal Article
Gogatishvili, Amiran - Jain, P. - Kanjilal, S.
On bilinear Hardy inequality and corresponding geometric mean inequality.
Ricerche di Matematica. Roč. 71, č. 2 (2022), s. 581-608. ISSN 0035-5038. E-ISSN 1827-3491
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : Hardy inequality * bilinear Hardy inequality * integral conditions * equivalent conditions * geometric mean inequality
OECD category: Pure mathematics
Impact factor: 1.2, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s11587-020-00536-2
Permanent Link: https://hdl.handle.net/11104/0336116File Download Size Commentary Version Access Gogatishvili5.pdf 2 382.6 KB Publisher’s postprint require - 10.0562000 - MÚ 2023 RIV US eng J - Journal Article
Gogatishvili, Amiran - Pick, L. - Tuğçe, Ünver
Weighted inequalities involving Hardy and Copson operators.
Journal of Functional Analysis. Roč. 283, č. 12 (2022), č. článku 109719. ISSN 0022-1236. E-ISSN 1096-0783
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : Hardy operator * Copson operator * weighted inequality * discretization
OECD category: Pure mathematics
Impact factor: 1.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jfa.2022.109719
Permanent Link: https://hdl.handle.net/11104/0334425File Download Size Commentary Version Access Gogatishvili4.pdf 2 571.9 KB Publisher’s postprint require