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Research Output 1996 2018

  • 65 Citations
  • 5 h-Index
  • 29 Article
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Article
2018

Maximal averages over certain non-smooth and non-convex hypersurfaces

Heo, Y-R., Hong, S. & Yang, C. W., 2018 Dec 1, In : Taiwanese Journal of Mathematics. 22, 6, p. 1383-1401 19 p.

Research output: Contribution to journalArticle

Maximal Operator
Hypersurface
Boundedness
Continuous Function
Derivative
2017

Bilinear integral operators with certain hypersingularities

Heo, Y-R., Hong, S. & Yang, C. W., 2017 Dec 1, In : Journal of Mathematical Analysis and Applications. 456, 1, p. 628-661 34 p.

Research output: Contribution to journalArticle

Bilinear Operators
Hilbert Transform
Integral Operator
Boundedness
Generalise

Maximal operators associated with some singular submanifolds

Heo, Y-R., Hong, S. & Yang, C. W., 2017, In : Transactions of the American Mathematical Society. 369, 7, p. 4597-4629 33 p.

Research output: Contribution to journalArticle

Maximal Operator
Submanifolds
Henri Léon Lebésgue
Subset
Singularity
2015
Averaging Operators
Proposition
Hypersurface
Estimate
2014
1 Citation (Scopus)

Bochner-Riesz Means with Respect to a Generalized Cylinder

Heo, Y-R., Koh, Y. & Yang, C. W., 2014 Jan 1, In : Integral Equations and Operator Theory. 79, 1, p. 1-21 21 p.

Research output: Contribution to journalArticle

Bochner-Riesz Means
Boundedness
Fourier transform

Lp-Sobolev regularity for integral operators over certain hypersurfaces

Heo, Y-R., Hong, S. & Yang, C. W., 2014 Jan 1, In : Bulletin of the Korean Mathematical Society. 51, 4, p. 965-978 14 p.

Research output: Contribution to journalArticle

Averaging Operators
Integral Operator
Hypersurface
Convolution
Regularity
1 Citation (Scopus)

Sobolev estimates for averaging operators over a convex hypersurface in R3

Hong, S., Heo, Y-R. & Yang, C. W., 2014 Apr 1, In : Journal of Mathematical Analysis and Applications. 412, 1, p. 244-268 25 p.

Research output: Contribution to journalArticle

Averaging Operators
Hypersurface
Estimate
2013
3 Citations (Scopus)

Dichotomies for Lorentz spaces

Głab, S., Strobin, F. & Yang, C. W., 2013 May 6, In : Central European Journal of Mathematics. 11, 7, p. 1228-1242 15 p.

Research output: Contribution to journalArticle

Lorentz Spaces
Lp Spaces
Dichotomy
Generalization
2011
2 Citations (Scopus)

Local smoothing estimates for some half-wave operators

Heo, Y-R. & Yang, C. W., 2011 Sep 15, In : Journal of Mathematical Analysis and Applications. 381, 2, p. 573-581 9 p.

Research output: Contribution to journalArticle

Local Smoothing
Wave Operator
Hypersurface
Estimate
4 Citations (Scopus)

Riesz means associated with certain product type convex domain

Hong, S., Kim, J. & Yang, C. W., 2011 Aug 15, In : Journal of Mathematical Analysis and Applications. 380, 2, p. 585-606 22 p.

Research output: Contribution to journalArticle

Riesz Means
Convolution Operator
Maximal Operator
Convex Domain
Multiplier
2010
3 Citations (Scopus)

An endpoint estimate for the cone multiplier

Heo, Y-R., Hong, S. & Yang, C. W., 2010 Apr 1, In : Proceedings of the American Mathematical Society. 138, 4, p. 1333-1347 15 p.

Research output: Contribution to journalArticle

Multiplier
Cones
High-dimensional
Cone
Estimate
2 Citations (Scopus)

Estimates for oscillatory strongly singular integral operators

Cho, C. H. & Yang, C. W., 2010 Feb 15, In : Journal of Mathematical Analysis and Applications. 362, 2, p. 523-533 11 p.

Research output: Contribution to journalArticle

Singular Integral Operator
Estimate
Oscillatory Integrals
Operator Norm
Decay Estimates
2009

Estimates for cone multipliers associated with homogeneous functions

Hong, S., Kim, J. & Yang, C. W., 2009 Apr 23, In : Rocky Mountain Journal of Mathematics. 39, 1, p. 117-132 16 p.

Research output: Contribution to journalArticle

Homogeneous Function
Convolution Operator
Hardy Space
Multiplier
Cone
1 Citation (Scopus)

Maximal operators associated with vector polynomials of lacunary coefficients

Hong, S., Kim, J. & Yang, C. W., 2009 Aug 1, In : Canadian Journal of Mathematics. 61, 4, p. 807-827 21 p.

Research output: Contribution to journalArticle

Maximal Operator
Polynomial
Coefficient
Time Constant
Boundedness
5 Citations (Scopus)

On mass concentration for the L2-critical nonlinear schrodinger equations

Chae, M., Hong, S., Kim, J., Lee, S. & Yang, C. W., 2009 May 1, In : Communications in Partial Differential Equations. 34, 5, p. 486-505 20 p.

Research output: Contribution to journalArticle

Schrodinger equation
Nonlinear Schrodinger Equation
Nonlinear equations
Concentration Phenomena
Strichartz Estimates
2 Citations (Scopus)

Triple Hilbert transforms along polynomial surfaces

Cho, Y. K., Hong, S., Kim, J. & Yang, C. W., 2009 Dec 1, In : Integral Equations and Operator Theory. 65, 4, p. 485-528 44 p.

Research output: Contribution to journalArticle

Hilbert Transform
Necessary Conditions
Polynomial
Sufficient Conditions
Form
2008
2 Citations (Scopus)

Cylinder multipliers associated with a convex polygon

Hong, S., Kim, J. & Yang, C. W., 2008 Jan 1, In : Integral Equations and Operator Theory. 60, 1, p. 53-78 26 p.

Research output: Contribution to journalArticle

Convex polygon
Maximal Operator
Distance Function
Multiplier
Estimate
1 Citation (Scopus)

Double Hilbert transform along real-analytic surfaces in d+2

Pramanik, M. & Yang, C. W., 2008 Apr 1, In : Journal of the London Mathematical Society. 77, 2, p. 363-386 24 p.

Research output: Contribution to journalArticle

Hilbert Transform
Necessary Conditions
Generalise
Sufficient Conditions
1 Citation (Scopus)

Multiparameter singular integrals and maximal operators along flat surfaces

Cho, Y. K., Hong, S., Kim, J. & Yang, C. W., 2008 Dec 1, In : Revista Matematica Iberoamericana. 24, 3, p. 1047-1073 27 p.

Research output: Contribution to journalArticle

Hilbert Transform
Singular Integral Operator
Maximal Operator
Even function
Maximal Function
5 Citations (Scopus)

Scattering theory below energy for a class of Hartree type equations

Chae, M., Hong, S., Kim, J. & Yang, C. W., 2008 Mar 1, In : Communications in Partial Differential Equations. 33, 3, p. 321-348 28 p.

Research output: Contribution to journalArticle

Multilinear Operators
Lp Estimates
Scattering Theory
Global Existence
Regularity
2007
3 Citations (Scopus)

Riesz means associated with convex polygons in R2

Hong, S., Kim, J. & Yang, C. W., 2007 Jul 1, In : Journal of Mathematical Analysis and Applications. 331, 1, p. 377-395 19 p.

Research output: Contribution to journalArticle

Riesz Means
Convex polygon
Maximal Operator
Hardy Space
Estimate

Weak type estimates for cone type multipliers associated with a convex polygon

Hong, S., Kim, J. & Yang, C. W., 2007 Oct 29, In : Indiana University Mathematics Journal. 56, 4, p. 1827-1870 44 p.

Research output: Contribution to journalArticle

Convolution Operator
Convex polygon
Multiplier
Critical value
Interior
2006
6 Citations (Scopus)

Weak type estimates for maximal operators with a cylindric distance function

Hong, S., Taylor, P. & Yang, C. W., 2006 May 1, In : Mathematische Zeitschrift. 253, 1, p. 1-24 24 p.

Research output: Contribution to journalArticle

Riesz Means
Maximal Operator
Distance Function
Estimate
2005
2 Citations (Scopus)

Lp decay estimates for weighted oscillatory integral operators on ℝ

Pramanik, M. & Yang, C. W., 2005 Dec 1, In : Revista Matematica Iberoamericana. 21, 3, p. 1071-1095 25 p.

Research output: Contribution to journalArticle

Lp Estimates
Oscillatory Integrals
Operator Norm
Decay Estimates
Decay Rate
9 Citations (Scopus)

L p improving estimates for some classes of Radon transforms

Yang, C. W., 2005 Oct 1, In : Transactions of the American Mathematical Society. 357, 10, p. 3887-3903 17 p.

Research output: Contribution to journalArticle

Radon Transform
Radon
Operator Norm
Estimate
Lp-norm
2004
7 Citations (Scopus)

Decay estimates for weighted oscillatory integrals in ℝ2

Pramanik, M. & Yang, C. W., 2004 Jul 12, In : Indiana University Mathematics Journal. 53, 2, p. 613-645 33 p.

Research output: Contribution to journalArticle

Oscillatory Integrals
Decay Estimates
Optimal Rates
Decay
Counterexample
5 Citations (Scopus)

Sharp Lp estimates for some oscillatory integral operators in R1

Yang, C. W., 2004 Dec 1, In : Illinois Journal of Mathematics. 48, 4, p. 1093-1103 11 p.

Research output: Contribution to journalArticle

Lp Estimates
Oscillatory Integrals
Operator Norm
Homogeneous Polynomials
Decay Rate
2003

Lp regularity of averaging operators with higher fold singularities

Yang, C. W., 2003 Feb 1, In : Proceedings of the American Mathematical Society. 131, 2, p. 455-465 11 p.

Research output: Contribution to journalArticle

Averaging Operators
Fold
Regularity
Singularity
Curve
1996

On the number of the minimal surfaces spanning part of a knot

Yang, C. W., 1996 Dec 1, In : Houston Journal of Mathematics. 22, 4, p. 691-700 10 p.

Research output: Contribution to journalArticle

Minimal surface
Knot
Lower bound
Modulo
Model