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Heinig, Hans P. (b. 1931 d. 2022)

Author ID: heinig.hans-p Recent zbMATH articles by "Heinig, Hans P."
Published as: Heinig, H. P.; Heinig, Hans P.; Heinig, Hans; Heinig, H.
External Links: MGP · Math-Net.Ru
Documents Indexed: 75 Publications since 1966, including 3 Books
Co-Authors: 21 Co-Authors with 40 Joint Publications
553 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 455 times in 336 Documents Cited by Year
Weighted norm inequalities for certain integral operators. Zbl 0527.26010
Andersen, K. F.; Heinig, H. P.
46
1983
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D.
46
1996
Weighted Fourier inequalities: New proofs and generalizations. Zbl 1034.42010
Benedetto, John J.; Heinig, Hans P.
38
2003
Weighted inequalities for monotone and concave functions. Zbl 0851.26012
Heinig, Hans; Maligranda, Lech
32
1995
Higher dimensional Hardy inequality. Zbl 0883.26013
Drábek, Pavel; Heinig, Hans P.; Kufner, Alois
29
1997
Weighted norm inequalities for classes of operators. Zbl 0511.46031
Heinig, Hans P.
24
1984
Weighted norm inequalities for certain integral operators. II. Zbl 0592.26017
Heinig, H. P.
23
1985
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
20
1993
Mapping properties of integral averaging operators. Zbl 0910.26008
Heinig, H. P.; Sinnamon, G.
16
1998
Integral operators on weighted amalgams. Zbl 0824.42015
Carton-Lebrun, C.; Heinig, H. P.; Hofmann, S. C.
13
1994
On some fractional order Hardy inequalities. Zbl 0880.26021
Heinig, Hans P.; Kufner, Alois; Persson, Lars-Erik
12
1997
Some extensions of Hardy’s inequality. Zbl 0313.26026
Heinig, Hans P.
11
1975
Extensions of the Heisenberg-Weyl inequality. Zbl 0589.42009
Heinig, H. P.; Smith, M.
11
1986
Fourier transform inequalities with measure weights. Zbl 0772.42005
Benedetto, John J.; Heinig, Hans
10
1992
Hardy operators of monotone functions and sequences in Orlicz spaces. Zbl 0853.42012
Heinig, H. P.; Kufner, A.
10
1996
Hardy inequality for higher order derivatives. Zbl 0716.26008
Kufner, A.; Heinig, H. P.
9
1990
Weighted Hardy spaces and the Laplace transform. II. Zbl 0626.44002
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
8
1987
Hardy’s inequalities with indices less than 1. Zbl 0484.26010
Beesack, Paul R.; Heinig, Hans P.
8
1981
Chebyshev inequality in function spaces. Zbl 0748.26011
Heinig, Hans P.; Maligranda, Lech
7
1992
Weighted modular inequalities for monotone functions. Zbl 0946.26014
Drábek, P.; Heinig, H. P.; Kufner, A.
6
1997
Weighted exponential inequalities. Zbl 1009.26014
Heinig, H. P.; Kerman, R.; Krbec, M.
6
2001
Fourier inequalities and integral representations of functions in weighted Bergman spaces over tube domains. Zbl 0668.42003
Heinig, Hans P.; Sinnamon, Gordon J.
5
1989
Weighted inequalities in Fourier analysis. Zbl 0773.42008
Heinig, H. P.
5
1990
Weighted Fourier transform inequalities for radially decreasing functions. Zbl 0773.42009
Carton-Lebrun, C.; Heinig, H. P.
5
1992
Modular inequalities for the Calderón operator. Zbl 1057.46060
Carro, María J.; Heinig, Hans
4
2000
Weight characterization of an averaging operator. Zbl 1071.42013
Carton-Lebrun, C.; Heinig, H. P.
4
2003
The Marcinkiewicz interpolation theorem extends to weighted spaces. Zbl 0388.41003
Heinig, Hans P.
4
1978
Estimates for operators in mixed weighted spaces. Zbl 0536.42014
Heinig, Hans P.
4
1985
Fourier inequalities with \(A_ p\)-weights. Zbl 0625.42006
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
3
1987
Variations of Hardy’s inequality. Zbl 0436.26007
Heinig, Hans P.
3
1980
Weighted Hardy spaces and the Laplace transform. Zbl 0513.44001
Benedetto, J. J.; Heinig, H. P.
3
1983
Representation of functions as Weierstrass-transforms. Zbl 0157.19403
Heinig, H. P.
3
1967
Duality theorem over the cone of monotone functions and sequences in higher dimensions. Zbl 1014.26018
Barza, Sorina; Heinig, Hans P.; Persson, Lars-Erik
3
2002
Modular inequalities for the Hardy averaging operator. Zbl 0936.26006
Heinig, Hans P.
2
1999
Sharp Paley-Titchmarsh inequalities in Orlicz spaces. Zbl 0851.42013
Heinig, Hans P.; Lee, Adrian L.
2
1996
Maximal function estimates of solutions to general dispersive partial differential equations. Zbl 0914.35038
Heinig, Hans P.; Wang, Sichun
2
1999
On the principle of duality in Lorentz spaces. Zbl 0889.46031
Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P.
2
1995
On a multiplier transform. Zbl 0262.42008
Heinig, H. P.
2
1973
A note on Hardy’s inequality in Orlicz spaces. Zbl 0877.46026
Heinig, Hans P.
1
1995
Exponential inequalities for a class of operators. Zbl 1024.26007
Heinig, Hans P.
1
2002
Weighted norm inequalities for \(L^ r\)-valued integral operators and applications. Zbl 0519.42016
Heinig, H. P.; Johnson, R.
1
1982
Weighted maximal inequalities for \(\ell^r\)-valued functions. Zbl 0359.42007
Heinig, H. P.
1
1976
Weighted interpolation in Banach spaces. Zbl 0365.46032
Heinig, Hans P.
1
1978
Interpolation in Orlicz spaces involving weights. Zbl 0378.46029
Heinig, Hans P.; Vaughan, David
1
1978
Weighted norm inequalities involving gradients. Zbl 0678.42012
Carton-Lebrun, C.; Heinig, H. P.
1
1989
Interpolation of quasi-normed spaces involving weights. Zbl 0561.46036
Heinig, Hans P.
1
1981
On a Hilbert-type transform. Zbl 0479.44005
Heinig, H. P.
1
1979
Interpolation with weights in Orlicz spaces. Zbl 0821.46024
Heinig, Hans P.; Maligranda, Lech
1
1994
A Fourier inequality with \(A_ p\) and weak-\(L^ 1\) weight. Zbl 0803.42013
Heinig, H. P.
1
1993
Weighted Sobolev inequalities for gradients. Zbl 1114.26014
Heinig, Hans P.
1
2006
The Paley-Wiener theorem with general weights. Zbl 0722.32003
Genchev, T. G.; Heinig, H. P.
1
1990
Weighted extensions of restriction theorems for the Fourier transform. Zbl 0727.42006
Carton-Lebrun, C.; Heinig, H. P.
1
1990
Weighted Sobolev inequalities for gradients. Zbl 1114.26014
Heinig, Hans P.
1
2006
Weighted Fourier inequalities: New proofs and generalizations. Zbl 1034.42010
Benedetto, John J.; Heinig, Hans P.
38
2003
Weight characterization of an averaging operator. Zbl 1071.42013
Carton-Lebrun, C.; Heinig, H. P.
4
2003
Duality theorem over the cone of monotone functions and sequences in higher dimensions. Zbl 1014.26018
Barza, Sorina; Heinig, Hans P.; Persson, Lars-Erik
3
2002
Exponential inequalities for a class of operators. Zbl 1024.26007
Heinig, Hans P.
1
2002
Weighted exponential inequalities. Zbl 1009.26014
Heinig, H. P.; Kerman, R.; Krbec, M.
6
2001
Modular inequalities for the Calderón operator. Zbl 1057.46060
Carro, María J.; Heinig, Hans
4
2000
Modular inequalities for the Hardy averaging operator. Zbl 0936.26006
Heinig, Hans P.
2
1999
Maximal function estimates of solutions to general dispersive partial differential equations. Zbl 0914.35038
Heinig, Hans P.; Wang, Sichun
2
1999
Mapping properties of integral averaging operators. Zbl 0910.26008
Heinig, H. P.; Sinnamon, G.
16
1998
Higher dimensional Hardy inequality. Zbl 0883.26013
Drábek, Pavel; Heinig, Hans P.; Kufner, Alois
29
1997
On some fractional order Hardy inequalities. Zbl 0880.26021
Heinig, Hans P.; Kufner, Alois; Persson, Lars-Erik
12
1997
Weighted modular inequalities for monotone functions. Zbl 0946.26014
Drábek, P.; Heinig, H. P.; Kufner, A.
6
1997
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D.
46
1996
Hardy operators of monotone functions and sequences in Orlicz spaces. Zbl 0853.42012
Heinig, H. P.; Kufner, A.
10
1996
Sharp Paley-Titchmarsh inequalities in Orlicz spaces. Zbl 0851.42013
Heinig, Hans P.; Lee, Adrian L.
2
1996
Weighted inequalities for monotone and concave functions. Zbl 0851.26012
Heinig, Hans; Maligranda, Lech
32
1995
On the principle of duality in Lorentz spaces. Zbl 0889.46031
Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P.
2
1995
A note on Hardy’s inequality in Orlicz spaces. Zbl 0877.46026
Heinig, Hans P.
1
1995
Integral operators on weighted amalgams. Zbl 0824.42015
Carton-Lebrun, C.; Heinig, H. P.; Hofmann, S. C.
13
1994
Interpolation with weights in Orlicz spaces. Zbl 0821.46024
Heinig, Hans P.; Maligranda, Lech
1
1994
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
20
1993
A Fourier inequality with \(A_ p\) and weak-\(L^ 1\) weight. Zbl 0803.42013
Heinig, H. P.
1
1993
Fourier transform inequalities with measure weights. Zbl 0772.42005
Benedetto, John J.; Heinig, Hans
10
1992
Chebyshev inequality in function spaces. Zbl 0748.26011
Heinig, Hans P.; Maligranda, Lech
7
1992
Weighted Fourier transform inequalities for radially decreasing functions. Zbl 0773.42009
Carton-Lebrun, C.; Heinig, H. P.
5
1992
Hardy inequality for higher order derivatives. Zbl 0716.26008
Kufner, A.; Heinig, H. P.
9
1990
Weighted inequalities in Fourier analysis. Zbl 0773.42008
Heinig, H. P.
5
1990
The Paley-Wiener theorem with general weights. Zbl 0722.32003
Genchev, T. G.; Heinig, H. P.
1
1990
Weighted extensions of restriction theorems for the Fourier transform. Zbl 0727.42006
Carton-Lebrun, C.; Heinig, H. P.
1
1990
Fourier inequalities and integral representations of functions in weighted Bergman spaces over tube domains. Zbl 0668.42003
Heinig, Hans P.; Sinnamon, Gordon J.
5
1989
Weighted norm inequalities involving gradients. Zbl 0678.42012
Carton-Lebrun, C.; Heinig, H. P.
1
1989
Weighted Hardy spaces and the Laplace transform. II. Zbl 0626.44002
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
8
1987
Fourier inequalities with \(A_ p\)-weights. Zbl 0625.42006
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
3
1987
Extensions of the Heisenberg-Weyl inequality. Zbl 0589.42009
Heinig, H. P.; Smith, M.
11
1986
Weighted norm inequalities for certain integral operators. II. Zbl 0592.26017
Heinig, H. P.
23
1985
Estimates for operators in mixed weighted spaces. Zbl 0536.42014
Heinig, Hans P.
4
1985
Weighted norm inequalities for classes of operators. Zbl 0511.46031
Heinig, Hans P.
24
1984
Weighted norm inequalities for certain integral operators. Zbl 0527.26010
Andersen, K. F.; Heinig, H. P.
46
1983
Weighted Hardy spaces and the Laplace transform. Zbl 0513.44001
Benedetto, J. J.; Heinig, H. P.
3
1983
Weighted norm inequalities for \(L^ r\)-valued integral operators and applications. Zbl 0519.42016
Heinig, H. P.; Johnson, R.
1
1982
Hardy’s inequalities with indices less than 1. Zbl 0484.26010
Beesack, Paul R.; Heinig, Hans P.
8
1981
Interpolation of quasi-normed spaces involving weights. Zbl 0561.46036
Heinig, Hans P.
1
1981
Variations of Hardy’s inequality. Zbl 0436.26007
Heinig, Hans P.
3
1980
On a Hilbert-type transform. Zbl 0479.44005
Heinig, H. P.
1
1979
The Marcinkiewicz interpolation theorem extends to weighted spaces. Zbl 0388.41003
Heinig, Hans P.
4
1978
Weighted interpolation in Banach spaces. Zbl 0365.46032
Heinig, Hans P.
1
1978
Interpolation in Orlicz spaces involving weights. Zbl 0378.46029
Heinig, Hans P.; Vaughan, David
1
1978
Weighted maximal inequalities for \(\ell^r\)-valued functions. Zbl 0359.42007
Heinig, H. P.
1
1976
Some extensions of Hardy’s inequality. Zbl 0313.26026
Heinig, Hans P.
11
1975
On a multiplier transform. Zbl 0262.42008
Heinig, H. P.
2
1973
Representation of functions as Weierstrass-transforms. Zbl 0157.19403
Heinig, H. P.
3
1967
all top 5

Cited by 359 Authors

23 Stepanov, Vladimir Dmitrievich
18 Gogatishvili, Amiran
16 Persson, Lars-Erik
14 Tikhonov, Sergey Yur’evich
11 Heinig, Hans P.
11 Saker, Samir H.
10 Ushakova, Elena Pavlovna
10 Vasil’eva, Anastasiya Andreevna
8 Gol’dman, Mikhail L’vovich
8 Pick, Luboš
8 Prokhorov, Dmitriĭ Vladimirovich
8 Shambilova, Guldarya Ermakovna
7 Neves, Júlio Severino
7 Opic, Bohumír
6 Ahmed, Irshaad
6 Gorbachëv, Dmitriĭ Viktorovich
6 Maligranda, Lech
5 Benedetto, John Joseph
5 Fiorenza, Alberto
5 Guliyev, Vagif Sabir
5 Kou, Kit-Ian
5 Křepela, Martin
5 Nursultanov, Erlan D.
5 Saied, Ahmed I.
4 Bandaliev, Rovshan Alifaga ogly
4 Barza, Sorina
4 Cianchi, Andrea
4 Kufner, Alois
4 Mahmoud, Ramy Ramadan
4 Murtaza, Ghulam
4 Pečarić, Josip
4 Perić, Ivan
4 Sinnamon, Gord
4 Soria, Javier
4 Yang, Yan
3 Agarwal, Ravi P.
3 Bakhtigareeva, Él’za Gizarovna
3 Băleanu, Dumitru I.
3 Burenkov, Viktor Ivanovich
3 Čižmešija, Aleksandra
3 D’yachenko, Mikhaĭl Ivanovich
3 Feuto, Justin
3 Fu, Zunwei
3 Ho, Kwok-Pun
3 Imoru, Christopher Olutunde
3 Jain, Pankaj
3 Kalybay, Aigerim Aisultankyzy
3 Kerman, Ron
3 Leśnik, Karol
3 Liflyand, Elijah
3 Oĭnarov, Ryskul Oĭnarovich
3 O’Regan, Donal
3 Osman, Mahmoud M.
3 Temirkhanova, Ainur Maralkyzy
3 Zhao, Fayou
2 Abdelkefi, Chokri
2 Abdo, Khadega R.
2 Ablé, Zobo Vincent de Paul
2 Abuelwafa, Maryam M.
2 Alam, Md. Mansur
2 Anderson, Douglas Robert
2 Bennett, Grahame
2 Berndt, Ryan M.
2 Betancor Perez, Jorge Juan
2 Bloom, Steven
2 Carro, María Jesús
2 Carton-Lebrun, Christiane
2 Cruz-Uribe, David Vincente
2 Dang, Pei
2 De Carli, Laura
2 Dubey, Shruti A.
2 Dyda, Bartłomiej
2 Emara, Salah A. A.
2 Eroglu, Ahmet
2 Ferreyra, Elida V.
2 Flores, Guillermo Javier
2 Formica, Maria Rosaria
2 Gadjieva, Elmira A.
2 Gasper, George Jun
2 Golubov, Boris Ivanovich
2 Grosse-Erdmann, Karl-Goswin
2 Guliev, G. V.
2 Gurka, Petr
2 Hafeez, Aneesa
2 Hajibayov, Mubariz G.
2 Hasanov, Sabir G.
2 Isayev, Fatayi A.
2 Johansson, Maria
2 Kamińska, Anna
2 Kokilashvili, Vakhtang
2 Kolyada, Viktor Ivanovich
2 Krnić, Mario
2 Kumar, Ashisha
2 Kumar, Suket
2 Li, Hongliang
2 Love, Eric Russell
2 Lu, Shanzhen
2 Luor, Dahchin
2 Mastyło, Mieczysław
2 Meskhi, Alexander
...and 259 more Authors
all top 5

Cited in 129 Serials

32 Journal of Mathematical Analysis and Applications
13 The Journal of Fourier Analysis and Applications
12 Proceedings of the American Mathematical Society
12 Doklady Mathematics
10 Journal of Functional Analysis
9 Mathematische Nachrichten
8 Transactions of the American Mathematical Society
8 Proceedings of the Steklov Institute of Mathematics
7 Journal of Approximation Theory
7 Siberian Mathematical Journal
7 Russian Journal of Mathematical Physics
7 Eurasian Mathematical Journal
6 Journal of Inequalities and Applications
6 Mathematical Inequalities & Applications
6 Journal of Mathematical Inequalities
5 Mathematical Notes
4 Journal of Soviet Mathematics
4 Mathematische Zeitschrift
4 Zeitschrift für Analysis und ihre Anwendungen
4 Integral Transforms and Special Functions
4 Journal of Function Spaces
3 Bulletin of the Australian Mathematical Society
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Advances in Mathematics
3 Collectanea Mathematica
3 Journal of Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Tôhoku Mathematical Journal. Second Series
3 Acta Applicandae Mathematicae
3 Aequationes Mathematicae
3 Revista Matemática Complutense
3 Journal of Function Spaces and Applications
3 Mediterranean Journal of Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Mathematical Methods in the Applied Sciences
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Ricerche di Matematica
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 St. Petersburg Mathematical Journal
2 Georgian Mathematical Journal
2 Abstract and Applied Analysis
2 Positivity
2 Acta Mathematica Sinica. English Series
2 Qualitative Theory of Dynamical Systems
2 Advanced Nonlinear Studies
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Analysis and Applications (Singapore)
2 Complex Variables and Elliptic Equations
2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
2 Banach Journal of Mathematical Analysis
1 Analysis Mathematica
1 Archive for Rational Mechanics and Analysis
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Studia Mathematica
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Revista de la Unión Matemática Argentina
1 Semigroup Forum
1 Studies in Applied Mathematics
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 The Journal of Geometric Analysis
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Russian Mathematics
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Advances in Applied Clifford Algebras
1 Bulletin des Sciences Mathématiques
...and 29 more Serials

Citations by Year