Singular Integral Operator in Spaces Defined by a Generalized Oscillation

被引：0
作者：
R. M. Rzaev
L. R. Aliyeva
L. E. Huseinova
机构：
[1] Azerbaijan State Pedagogic University,
[2] Institute of Mathematics and Mechanics,undefined
[3] Azerbaijan National Academy of Sciences,undefined
来源：
Ukrainian Mathematical Journal | 2022年 / 73卷
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摘要：
We study the behavior of a multidimensional singular integral operator in function spaces defined by the conditions imposed on the generalized oscillation of a function.
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页码：1428 / 1444
页数：16
相关论文
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  • [11] Meyers GN(2008)On some maximal functions, measuring smoothness, and metric characteristics Centr. Europ. J. Math. 6 595-609
  • [12] Rzaev RM(2010)On local properties of functions and singular integrals in terms of the mean oscillation Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 30 167-176
  • [13] Rzaev RM(1965)Mean oscillation, Φ-oscillation, and harmonic oscillation Ann. Scuola Norm. Super. Pisa 19 593-608
  • [14] Rzaev RM(undefined)Some function spaces defined using the mean oscillation over cubes undefined undefined undefined-undefined
  • [15] Rzaev RM(undefined)undefined undefined undefined undefined-undefined
  • [16] Aliyeva LR(undefined)undefined undefined undefined undefined-undefined
  • [17] Rzaev RM(undefined)undefined undefined undefined undefined-undefined
  • [18] Aliyeva LR(undefined)undefined undefined undefined undefined-undefined
  • [19] Spanne S(undefined)undefined undefined undefined undefined-undefined
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