TY  - JOUR
T1  - Sharp $B$-Maximal Function Estimates and Boundedness for Some  Integral Operators to the Inequalities
AU  - Keskin, Cansu
AU  - Turkak, Havva Nur
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.53570/jnt.1696750
JF  - Journal of New Theory
JO  - JNT
PB  - Naim ÇAĞMAN
WT  - DergiPark
SN  - 2149-1402
SP  - 65
EP  - 75
IS  - 51
LA  - en
AB  - In this paper, we first establish the relation between $B$-maximal and sharp $B$-maximal functions generated by the generalized translation operator connected with the Laplace-Bessel differential operator. We then prove some sharp $B$-maximal function estimates and present an application using these sharp estimates to study singular integral operators. We finally obtain the boundedness of the Littlewood-Paley $g$-function related to the Laplace-Bessel differential operator on generalized $B$-Morrey spaces.
KW  - $B$-Morrey space
KW  - Laplace-Bessel differential operator
KW  - Littlewood-Paley $g$-function
KW  - sharp $B$-maximal function
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UR  - https://doi.org/10.53570/jnt.1696750
L1  - https://dergipark.org.tr/en/download/article-file/4858544
ER  -