On the regularity of one-sided fractional maximal functions
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Feng Liu
Abstract
In this paper we investigate the regularity properties of one-sided fractional maximal functions, both in continuous case and in discrete case. We prove that the one-sided fractional maximal operators
This work was supported by the NNSF of China (Grant No. 11701333, 11526122), Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents (Grant No. 2015RCJJ053), Research Award Fund for Outstanding Young Scientists of Shandong Province (Grant No. BS2015SF012) and Support Program for Outstanding Young Scientific and Technological Top-notch Talents of College of Mathematics and Systems Science (Grant No. Sxy2016K01)
Acknowledgement.
The author would like to express their deep gratitude to the referee for his/her invaluable comments and suggestions.
References
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© 2018 Mathematical Institute Slovak Academy of Sciences
Articles in the same Issue
- Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
- On the n × n × n Rubik's Cube
- Congruences involving alternating harmonic sums modulo pαqβ
- On the proximity of large primes
- On the factorizations of cubic polynomials with the same discriminant modulo a prime
- Some results on abstract convexity of functions
- Remarks on b-Metric and metric-preserving functions
- Generalization of Ostrowski inequality for convex functions
- On microscopic sets and Fubini Property in all directions
- New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
- Application of tan(φ(ξ)/2)-expansion method to burgers and foam drainage equations
- Approximate sentinels for diffusion phenomena with pollution
- Remarks on a semilinear system in ℝn motivated by difference equations
- Oscillation tests for difference equations with several non-monotone deviating arguments
- On the regularity of one-sided fractional maximal functions
- A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
- A note about Volterra operator
- Some reverse and numerical radius inequalities
- A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds
- Sequential decreasing strong size properties
- Approximation of Information Divergences for Statistical Learning with Applications
- Wigner's theorem for an infinite set
- A note on automorphisms of lie ideals in prime rings
Articles in the same Issue
- Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
- On the n × n × n Rubik's Cube
- Congruences involving alternating harmonic sums modulo pαqβ
- On the proximity of large primes
- On the factorizations of cubic polynomials with the same discriminant modulo a prime
- Some results on abstract convexity of functions
- Remarks on b-Metric and metric-preserving functions
- Generalization of Ostrowski inequality for convex functions
- On microscopic sets and Fubini Property in all directions
- New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
- Application of tan(φ(ξ)/2)-expansion method to burgers and foam drainage equations
- Approximate sentinels for diffusion phenomena with pollution
- Remarks on a semilinear system in ℝn motivated by difference equations
- Oscillation tests for difference equations with several non-monotone deviating arguments
- On the regularity of one-sided fractional maximal functions
- A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
- A note about Volterra operator
- Some reverse and numerical radius inequalities
- A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds
- Sequential decreasing strong size properties
- Approximation of Information Divergences for Statistical Learning with Applications
- Wigner's theorem for an infinite set
- A note on automorphisms of lie ideals in prime rings
