Geodesic
B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spaces
Filomat, Tome 37 (2023) no. 17, p. 5765

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DOI

In this paper, we prove the boundedness of B−maximal operator, B−singular integral operator and B−Riesz potential in the variable exponent Lorentz space L p(·),q(·),γ (R n k,+). As a consequence of the boundedness of B−Riesz potentials in variable exponent Lorentz spaces, we also obtain that B−fractional maximal operators are bounded in L p(·),q(·),γ (R n k,+).
DOI : 10.2298/FIL2317765A
Classification : 42B20, 42B25, 42B35, 46E30, 47G10
Keywords: γ−rearrangement, Variable exponent Lorentz space, B−maximal operator, B−singular operator, B−Riesz potential 
Canay Aykol; Esra Kaya. B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spaces. Filomat, Tome 37 (2023) no. 17, p. 5765 . doi: 10.2298/FIL2317765A
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     author = {Canay Aykol and Esra Kaya},
     title = {B\ensuremath{-}maximal operators, {B\ensuremath{-}singular} integral operators and {B\ensuremath{-}Riesz} potentials in variable exponent {Lorentz} spaces},
     journal = {Filomat},
     pages = {5765 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317765A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317765A/}
}
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