Topics in Contemporary Mathematical Analysis and Applications

4 Characterizations of Rough Fractional-Type Integral Operators on Variable Exponent Vanishing MorreyType Spaces

Ferit Gürbüz

Hakkari University

Shenghu Ding, Han Huili, and Pinhong Long

Ningxia University

CONTENTS

4.1     Introduction

4.2     Preliminaries and Main Results

4.2.1     Variable Exponent Lebesgue Spaces L^p(·)

4.2.2     Variable Exponent Morrey Spaces L^p(·),λ(·)

4.2.3     Variable Exponent Vanishing Generalized Morrey Spaces

4.2.4     Variable Exponent-Generalized Campanato Spaces ${\mathcal{C}}_{\text{Π}}^{q(\cdot ),\gamma (\cdot )}$

4.3     Conclusion

Funding

References

4.1     Introduction

In this work, we mainly focus on some operators and commutators on the variable exponent-generalized Morrey-type space. Precisely, our aim is to characterize the boundedness for the ...