## Opic, Bohumír

Compute Distance To:
 Author ID: opic.bohumir Published as: Opic, Bohumír; Opic, B.; Opic, Bohumir; Opits, B.; Opic, Bohumír.; Opic, B more...less
 Documents Indexed: 89 Publications since 1978, including 2 Books 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 318 Reviews Co-Authors: 20 Co-Authors with 79 Joint Publications 522 Co-Co-Authors
all top 5

### Co-Authors

 12 single-authored 22 Gurka, Petr 20 Gogatishvili, Amiran 15 Edmunds, David Eric 13 Kufner, Alois 10 Neves, Júlio Severino 10 Pick, Luboš 9 Rákosník, Jiří 6 Evans, William Desmond 4 Caetano, António M. 4 Krbec, Miroslav 4 Trebels, Walter 2 Drábek, Pavel 1 Cianchi, Andrea 1 Cobos, Fernando 1 Kerman, Ron 1 Milman, Mario Marcos 1 Domingues de Moura, Susana 1 Skrypnik, Igor Vladimirovich 1 Stetsyuk, V. P. 1 Tikhonov, Sergey Yur’evich
all top 5

### Serials

 7 Czechoslovak Mathematical Journal 6 Časopis Pro Pěstování Matematiky 5 Mathematische Nachrichten 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the American Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Studia Mathematica 3 Journal of Approximation Theory 3 Journal of Functional Analysis 3 Mathematical Inequalities & Applications 2 Journal of Mathematical Analysis and Applications 2 Collectanea Mathematica 2 Commentationes Mathematicae Universitatis Carolinae 2 Zeitschrift für Analysis und ihre Anwendungen 1 Analysis Mathematica 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Publicacions Matemàtiques 1 Mathematica Bohemica 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Potential Analysis 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 The Quarterly Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Teubner-Texte zur Mathematik 1 Banach Journal of Mathematical Analysis
all top 5

### Fields

 80 Functional analysis (46-XX) 38 Real functions (26-XX) 23 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX)

### Citations contained in zbMATH Open

75 Publications have been cited 1,218 times in 749 Documents Cited by Year
Hardy-type inequalities. Zbl 0698.26007
Opic, B; Kufner, Alois
1990
How to define reasonably weighted Sobolev spaces. Zbl 0557.46025
Kufner, Alois; Opic, Bohumír
1984
Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058
Evans, W. D.; Opic, B.
2000
On generalized Lorentz-Zygmund spaces. Zbl 0956.46020
Opic, B.; Pick, L.
1999
Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012
Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter
2005
Real interpolation with logarithmic functors. Zbl 1041.46011
Evans, W. D.; Opic, Bohumír; Pick, Luboš
2002
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1995
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1997
Weighted inequalities for Hardy-type operators involving suprema. Zbl 1116.47041
Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2006
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1995
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
1996
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1996
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
2008
Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019
Gurka, Petr; Opic, Bohumír
1989
Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030
Gurka, Petr; Opic, Bohumír
1988
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
2007
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1998
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
2000
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
2014
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
2014
Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027
Edmunds, D. E.; Opic, B.
1993
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
2011
Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1197.46017
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2010
Weighted inequalities for geometric means. Zbl 0806.26012
Opic, B.; Gurka, P.
1994
Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces. Zbl 1076.46021
Gogatishvili, Amiran; Opic, Bohumír; Neves, Júlio S.
2004
Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038
Gurka, Petr; Opic, Bohumir
1991
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
2002
On the geometric mean operator. Zbl 0815.47041
Pick, L.; Opic, B.
1994
Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1213.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2011
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2005
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
2005
Sharp estimates of the $$k$$-modulus of smoothness of Bessel potentials. Zbl 1194.26026
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2010
Sharp embeddings of Bessel potential spaces with logarithmic smoothness. Zbl 1036.46027
Opic, Bohumír; Trebels, Walter
2003
Some recent results on Hardy type operators in weighted function spaces and related topics. Zbl 0803.46036
Krbec, Miroslav; Opic, Bohumír.; Pick, L.; Rákosník, Jiří
1993
Optimal embeddings and compact embeddings of Bessel-potential-type spaces. Zbl 1179.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2009
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
2016
Sharpness and non-compactness of embeddings of Bessel-potential-type spaces. Zbl 1137.46020
Gogatishvili, Amiran; Neves, Júlio Severino; Opic, Bohumír
2007
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
2008
Bessel potentials with logarithmic components and Sobolev-type embeddings. Zbl 0973.46021
Opic, Bohumír; Trebels, Walter
2000
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2000
Embeddings of weighted Sobolev spaces into spaces of continuous functions. Zbl 0765.46015
Brown, R. C.; Opic, B.
1992
Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces. Zbl 1096.46016
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2005
Some inequalities in weighted Sobolev spaces. Zbl 0596.46021
Opic, Bohumír; Kufner, Alois
1984
Estimates for mixed derivatives of functions from anisotropic Sobolev- Slobodeckij spaces with weights. Zbl 0736.46023
Opic, Bohumír.; Rákosník, Jiří
1991
Imbedding theorems for weighted Orlicz-Sobolev spaces. Zbl 1041.46508
Krbec, Miroslav; Opic, Bohumír; Pick, Luboš
1992
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040
Edmunds, D. E.; Opic, B.; Pick, L.
1993
Remark on compactness of imbeddings in weighted spaces. Zbl 0639.46035
Opic, Bohumír; Kufner, Alois
1987
Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces. Zbl 0704.46021
Opic, Bohumír
1989
Embeddings of Sobolev-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1318.26045
Gogatishvili, Amiran; Moura, Susana D.; Neves, Júlio S.; Opic, Bohumír
2015
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
2011
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. II. Zbl 0831.46026
Edmunds, David E.; Opic, B.; Rákosník, Jiří
1994
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2006
Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019
Edmunds, D. E.; Opic, B.
2008
$$A_ r$$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
1988
Some imbeddings for weighted Sobolev spaces. Zbl 0545.46021
Kufner, A.; Opic, B.
1983
Weighted inequalities involving $$\rho$$-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2018
New characterizations of Lorentz spaces. Zbl 1037.46026
Opic, Bohumír
2003
On the distance of the Riemann-Liouville operator from compact operators. Zbl 0816.47035
Opic, Bohumír
1994
Nonlinear analysis, function spaces and applications. Vol. 5. Proceedings of the spring school held in Prague, May 23-28, 1994. Zbl 0811.00017
1994
Equivalent quasi-norms on Lorentz spaces. Zbl 1023.46025
Edmunds, David E.; Opic, Bohumír
2003
Compact imbedding of weighted Sobolev space defined on an unbounded domain. I. Zbl 0646.46029
Opic, Bohumír
1988
N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017
Opic, B.; Gurka, P.
1989
Continuous and compact embeddings of Bessel-potential-type spaces. Zbl 1261.26002
Opic, Bohumír
2012
The $$\rho$$-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2009
Interpolation of uniformly absolutely continuous operators. Zbl 1273.46011
Cobos, Fernando; Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2013
The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities. Zbl 1217.26032
Opic, Bohumír
2010
Über äquivalente Normen in Sobolevschen Räumen mit Belegungsfunktion. Zbl 0379.46027
Opic, Bohumir
1978
Hardy inequality of fractional order. Zbl 1138.26011
Gurka, Petr; Opic, Bohumír
2008
On boundedness of fractional maximal operators between classical Lorentz spaces. Zbl 0965.46015
Opic, Bohumír
2000
On equivalent quasi-norms on Lorentz spaces. Zbl 1036.46022
Opic, Bohumír
2003
Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034
Gurka, Petr; Opic, Bohumír
1998
Some remarks to the definition of weighted Sobolev spaces. Zbl 0632.46027
Kufner, A.; Opits, B.
1986
The Dirichlet problem and weighted spaces. I. Zbl 0589.35016
Kufner, Alois; Opic, Bohumír
1983
Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030
Gurka, Petr; Opic, Bohumír
2012
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by $$L^{p}$$-modulus of smoothness. Zbl 1407.26021
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2019
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by $$L^{p}$$-modulus of smoothness. Zbl 1407.26021
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2019
Weighted inequalities involving $$\rho$$-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2018
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
2016
Embeddings of Sobolev-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1318.26045
Gogatishvili, Amiran; Moura, Susana D.; Neves, Júlio S.; Opic, Bohumír
2015
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
2014
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
2014
Interpolation of uniformly absolutely continuous operators. Zbl 1273.46011
Cobos, Fernando; Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2013
Continuous and compact embeddings of Bessel-potential-type spaces. Zbl 1261.26002
Opic, Bohumír
2012
Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030
Gurka, Petr; Opic, Bohumír
2012
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
2011
Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1213.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2011
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
2011
Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving $$k$$-modulus of smoothness. Zbl 1197.46017
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2010
Sharp estimates of the $$k$$-modulus of smoothness of Bessel potentials. Zbl 1194.26026
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2010
The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities. Zbl 1217.26032
Opic, Bohumír
2010
Optimal embeddings and compact embeddings of Bessel-potential-type spaces. Zbl 1179.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2009
The $$\rho$$-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2009
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
2008
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
2008
Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019
Edmunds, D. E.; Opic, B.
2008
Hardy inequality of fractional order. Zbl 1138.26011
Gurka, Petr; Opic, Bohumír
2008
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
2007
Sharpness and non-compactness of embeddings of Bessel-potential-type spaces. Zbl 1137.46020
Gogatishvili, Amiran; Neves, Júlio Severino; Opic, Bohumír
2007
Weighted inequalities for Hardy-type operators involving suprema. Zbl 1116.47041
Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2006
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2006
Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012
Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter
2005
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2005
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
2005
Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces. Zbl 1096.46016
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
2005
Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces. Zbl 1076.46021
Gogatishvili, Amiran; Opic, Bohumír; Neves, Júlio S.
2004
Sharp embeddings of Bessel potential spaces with logarithmic smoothness. Zbl 1036.46027
Opic, Bohumír; Trebels, Walter
2003
New characterizations of Lorentz spaces. Zbl 1037.46026
Opic, Bohumír
2003
Equivalent quasi-norms on Lorentz spaces. Zbl 1023.46025
Edmunds, David E.; Opic, Bohumír
2003
On equivalent quasi-norms on Lorentz spaces. Zbl 1036.46022
Opic, Bohumír
2003
Real interpolation with logarithmic functors. Zbl 1041.46011
Evans, W. D.; Opic, Bohumír; Pick, Luboš
2002
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
2002
Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058
Evans, W. D.; Opic, B.
2000
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
2000
Bessel potentials with logarithmic components and Sobolev-type embeddings. Zbl 0973.46021
Opic, Bohumír; Trebels, Walter
2000
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
2000
On boundedness of fractional maximal operators between classical Lorentz spaces. Zbl 0965.46015
Opic, Bohumír
2000
On generalized Lorentz-Zygmund spaces. Zbl 0956.46020
Opic, B.; Pick, L.
1999
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1998
Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034
Gurka, Petr; Opic, Bohumír
1998
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1997
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
1996
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1996
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1995
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
1995
Weighted inequalities for geometric means. Zbl 0806.26012
Opic, B.; Gurka, P.
1994
On the geometric mean operator. Zbl 0815.47041
Pick, L.; Opic, B.
1994
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. II. Zbl 0831.46026
Edmunds, David E.; Opic, B.; Rákosník, Jiří
1994
On the distance of the Riemann-Liouville operator from compact operators. Zbl 0816.47035
Opic, Bohumír
1994
Nonlinear analysis, function spaces and applications. Vol. 5. Proceedings of the spring school held in Prague, May 23-28, 1994. Zbl 0811.00017
1994
Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027
Edmunds, D. E.; Opic, B.
1993
Some recent results on Hardy type operators in weighted function spaces and related topics. Zbl 0803.46036
Krbec, Miroslav; Opic, Bohumír.; Pick, L.; Rákosník, Jiří
1993
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040
Edmunds, D. E.; Opic, B.; Pick, L.
1993
Embeddings of weighted Sobolev spaces into spaces of continuous functions. Zbl 0765.46015
Brown, R. C.; Opic, B.
1992
Imbedding theorems for weighted Orlicz-Sobolev spaces. Zbl 1041.46508
Krbec, Miroslav; Opic, Bohumír; Pick, Luboš
1992
Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038
Gurka, Petr; Opic, Bohumir
1991
Estimates for mixed derivatives of functions from anisotropic Sobolev- Slobodeckij spaces with weights. Zbl 0736.46023
Opic, Bohumír.; Rákosník, Jiří
1991
Hardy-type inequalities. Zbl 0698.26007
Opic, B; Kufner, Alois
1990
Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019
Gurka, Petr; Opic, Bohumír
1989
Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces. Zbl 0704.46021
Opic, Bohumír
1989
N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017
Opic, B.; Gurka, P.
1989
Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030
Gurka, Petr; Opic, Bohumír
1988
$$A_ r$$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
1988
Compact imbedding of weighted Sobolev space defined on an unbounded domain. I. Zbl 0646.46029
Opic, Bohumír
1988
Remark on compactness of imbeddings in weighted spaces. Zbl 0639.46035
Opic, Bohumír; Kufner, Alois
1987
Some remarks to the definition of weighted Sobolev spaces. Zbl 0632.46027
Kufner, A.; Opits, B.
1986
How to define reasonably weighted Sobolev spaces. Zbl 0557.46025
Kufner, Alois; Opic, Bohumír
1984
Some inequalities in weighted Sobolev spaces. Zbl 0596.46021
Opic, Bohumír; Kufner, Alois
1984
Some imbeddings for weighted Sobolev spaces. Zbl 0545.46021
Kufner, A.; Opic, B.
1983
The Dirichlet problem and weighted spaces. I. Zbl 0589.35016
Kufner, Alois; Opic, Bohumír
1983
Über äquivalente Normen in Sobolevschen Räumen mit Belegungsfunktion. Zbl 0379.46027
Opic, Bohumir
1978
all top 5

### Cited by 807 Authors

 29 Gogatishvili, Amiran 28 Cianchi, Andrea 28 Opic, Bohumír 26 Cobos, Fernando 20 Edmunds, David Eric 19 Pick, Luboš 15 Persson, Lars-Erik 13 Gurka, Petr 13 Ho, Kwok-Pun 13 Rodríguez García, José Manuel 13 Shimomura, Tetsu 12 Dominguez, Oscar 11 Černý, Robert 11 Fernández-Cabrera, Luz M. 11 Neves, Júlio Severino 11 Prokhorov, Dmitriĭ Vladimirovich 11 Stepanov, Vladimir Dmitrievich 10 Do Ó, João M. Bezerra 10 Haroske, Dorothee D. 10 Kufner, Alois 10 Nguyen Tuan Duy 9 Drábek, Pavel 9 Fernández-Martínez, Pedro 9 Lam, Nguyen 9 Mizuta, Yoshihiro 9 Saker, Samir H. 9 Vasil’eva, Anastasiya Andreevna 8 Gol’dman, Mikhail L’vovich 7 Ahmed, Irshaad 7 de Oliveira, José Francisco 7 Fiorenza, Alberto 7 Mihula, Zdeněk 7 Mustafayev, Rza Ch. 7 Otárola, Enrique 7 Signes, Teresa M. 6 Bandaliev, Rovshan Alifaga ogly 6 Besoy, Blanca F. 6 Chen, Mu-Fa 6 Doktorski, Leo R. Ya. 6 Gesztesy, Fritz 6 Guliyev, Vagif Sabir 6 Hurri-Syrjānen, Ritva 6 Jain, Pankaj 6 Kühn, Thomas 6 Lang, Jan 6 Ohno, Takao 6 Slavíková, Lenka 5 Caetano, António M. 5 Chlebicka, Iwona 5 Kałamajska, Agnieszka 5 Kim, KyeongHun 5 Křepela, Martin 5 Mahmoud, Ramy Ramadan 5 Domingues de Moura, Susana 5 Phi, Le Long 5 Salgado, Abner J. 5 Tikhonov, Sergey Yur’evich 4 Antil, Harbir 4 Avkhadiev, Farit Gabidinovich 4 Chua, Seng-Kee 4 Ekholm, Tomas 4 Hencl, Stanislav 4 Ioku, Norisuke 4 Karadzhov, Georgi Eremiev 4 Kovařík, Hynek 4 Luor, Dahchin 4 Mamedov, Farman Imran 4 Martínez Martínez, Antón 4 Maz’ya, Vladimir Gilelevich 4 Michael, Isaac B. 4 Nekvinda, Aleš 4 Pang, Michael M. H. 4 Pinchover, Yehuda 4 Pustylnik, Evgeniy 4 Quintana, Yamilet 4 Rákosník, Jiří 4 Ruf, Bernhard 4 Ruzhansky, Michael V. 4 Schneider, Cornelia 4 Tarsi, Cristina 4 Trebels, Walter 4 Vancostenoble, Judith 3 Alberico, Angela 3 Berchio, Elvise 3 Cassani, Daniele 3 Chiacchio, Francesco 3 Cwikel, Michael 3 de Cave, Linda Maria 3 Diaz Diaz, Jesus Ildefonso 3 Felli, Veronica 3 Ferrero, Alberto 3 Figueiredo, Giovany Malcher 3 Formica, Maria Rosaria 3 Garayev, Mübariz Tapdıgoğlu 3 Grillo, Gabriele 3 Kerman, Ron 3 Kilgore, Theodore A. 3 Krnić, Mario 3 Kuliev, Komil D. 3 Littlejohn, Lance L. ...and 707 more Authors
all top 5

### Cited in 202 Serials

 60 Journal of Mathematical Analysis and Applications 42 Journal of Functional Analysis 27 Journal of Approximation Theory 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Differential Equations 17 Czechoslovak Mathematical Journal 15 Mathematische Nachrichten 15 Zeitschrift für Analysis und ihre Anwendungen 15 Journal of Inequalities and Applications 13 Proceedings of the American Mathematical Society 13 The Journal of Fourier Analysis and Applications 12 Mediterranean Journal of Mathematics 11 Calculus of Variations and Partial Differential Equations 11 Proceedings of the Steklov Institute of Mathematics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Transactions of the American Mathematical Society 9 Mathematical Inequalities & Applications 8 Potential Analysis 8 NoDEA. Nonlinear Differential Equations and Applications 8 Revista Matemática Complutense 7 Mathematische Zeitschrift 7 Acta Mathematica Sinica. English Series 6 Advances in Mathematics 6 Journal of Computational and Applied Mathematics 6 Acta Mathematica Hungarica 6 Doklady Mathematics 6 Communications in Contemporary Mathematics 6 Journal of Function Spaces 5 Journal d’Analyse Mathématique 5 Mathematical Notes 5 Rocky Mountain Journal of Mathematics 5 Studia Mathematica 5 Arkiv för Matematik 5 Collectanea Mathematica 5 Mathematische Annalen 5 Siberian Mathematical Journal 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Russian Journal of Mathematical Physics 5 Discrete and Continuous Dynamical Systems 5 Positivity 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Mathematical Physics 4 Archiv der Mathematik 4 Memoirs of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin des Sciences Mathématiques 4 Journal of Evolution Equations 4 Foundations of Computational Mathematics 4 Communications on Pure and Applied Analysis 4 Frontiers of Mathematics in China 4 Science China. Mathematics 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Integral Equations and Operator Theory 3 Monatshefte für Mathematik 3 Results in Mathematics 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Applied Mathematics Letters 3 Forum Mathematicum 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Integral Transforms and Special Functions 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Central European Journal of Mathematics 3 Journal of Function Spaces and Applications 3 Journal of Mathematical Inequalities 3 Eurasian Mathematical Journal 3 Bulletin of Mathematical Sciences 2 Analysis Mathematica 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 Lithuanian Mathematical Journal 2 Ukrainian Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Mathematica Scandinavica 2 Numerische Mathematik 2 Real Analysis Exchange 2 Ricerche di Matematica 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Theoretical Probability 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of the European Mathematical Society (JEMS) 2 Qualitative Theory of Dynamical Systems 2 Advanced Nonlinear Studies 2 Hacettepe Journal of Mathematics and Statistics ...and 102 more Serials
all top 5

### Cited in 45 Fields

 377 Functional analysis (46-XX) 255 Real functions (26-XX) 254 Partial differential equations (35-XX) 135 Operator theory (47-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 45 Approximations and expansions (41-XX) 34 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Potential theory (31-XX) 22 Probability theory and stochastic processes (60-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Fluid mechanics (76-XX) 12 Integral transforms, operational calculus (44-XX) 10 Special functions (33-XX) 10 Integral equations (45-XX) 9 Difference and functional equations (39-XX) 6 Abstract harmonic analysis (43-XX) 6 Systems theory; control (93-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Statistics (62-XX) 5 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 5 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)